zbMath0583.20001MaRDI QIDQ3708174
Michael Aschbacher
Publication date: 1986
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Walter's basic theorem for fusion systems ⋮
Chevalley groups of type \(G_ 2\) as the group of a trilinear form ⋮
Quotients of Coxeter complexes, fundamental groupoids and regular graphs ⋮
The 27-dimensional module for \(E_ 6\). I ⋮
Reciprocal polynomials and \(p\)-group cohomology ⋮
On some flag-transitive extensions of the dual Petersen graph ⋮
Non-abelian Hadamard difference sets ⋮
Asymptotic results for primitive permutation groups ⋮
A characterization of \(M_{22}\) ⋮
The hyperbolic lines of finite symplectic spaces ⋮
Some problems of Wielandt revisited. ⋮
Nonsolvable groups with an automorphism inverting many elements ⋮
Cellular covers of groups ⋮
Genotypes of irreducible representations of finite \(p\)-groups ⋮
Qd(\(p\))-free rank two finite groups act freely on a homotopy product of two spheres ⋮
Fusion systems and amalgams. ⋮
Primitive permutation groups with a regular subgroup. ⋮
Nilpotency of \(p\)-complements and \(p\)-regular conjugacy class sizes. ⋮
A commutative analogue of the group ring ⋮
Recognising simplicity of black-box groups by constructing involutions and their centralisers. ⋮
Fusion systems and localities. ⋮
Recognizing alternating groups \(A_{p+3}\) for certain primes \(p\) by their orders and degree patterns. ⋮
\(\text{F}_4(2)\) and its automorphism group. ⋮
A new proof of the solvable signalizer functor theorem. ⋮
A 3-local characterization of \(Fi_{24}'\). ⋮
An improved 3-local characterization of McL and its automorphism group. ⋮
Criteria for solvable radical membership via \(p\)-elements. ⋮
Groups with the same order and degree pattern. ⋮
2-cohomologies of the groups \(\text{SL}(n,q)\). ⋮
Groups saturated by finite simple groups. ⋮
N-groups and fusion systems. ⋮
Random generation of finite and profinite groups and group enumeration. ⋮
On recognizability of some finite simple orthogonal groups by spectrum. ⋮
Nonsolvable signalizer functors revisited ⋮
Frattini subgroups relative to formation functions ⋮
On finite tetraprimary groups. ⋮
A characterization of finite symplectic groups over fields with more than two elements ⋮
On association schemes all elements of which have valency 1 or 2 ⋮
Finite groups having the same prime graph as the group \(A_{10}\). ⋮
Classification of maximal subgroups of odd index in finite groups with alternating socle. ⋮
Generation of a finite group with Hall maximal subgroups by a pair of conjugate elements. ⋮
Insoluble groups with the rewriting property \(P_ 8\) ⋮
The uniqueness of groups of type \(J_ 4\) ⋮
Normal closure and injective normalizer of a group homomorphism. ⋮
Finite groups having the same prime graph as the group \(\Aut(J_2)\). ⋮
The complete reducibility of some \(GF(2)A_7\)-modules. ⋮
Constructions of large translation nets with nonabelian translation groups ⋮
Boosting an analogue of Jordan's theorem for finite groups ⋮
Finite groups without elements of order six ⋮
A general representation theory for constructing groups of permutation polynomials ⋮
Finite groups all of whose 2-maximal subgroups are \(\pi\)-decomposable. ⋮
Nonabelian composition factors of a finite group with arithmetic constraints on nonsolvable maximal subgroups. ⋮
Recognition of the groups \(E_7(2)\) and \(E_7(3)\) by prime graph ⋮
Stabilizers of vertices of graphs with primitive automorphism groups and a strong version of the Sims conjecture. I. ⋮
3-transposition groups with non-central normal 2-subgroups ⋮
On flat flag-transitive \(c.c^*\)-geometries ⋮
Global Oort groups ⋮
An identification of \(Co_1\). ⋮
Compositional attractors and enumeration of permutation polynomials over finite fields ⋮
Automorphisms of \(K\)-groups. I. ⋮
On color-preserving automorphisms of Cayley graphs of odd square-free order ⋮
Translation nets: A survey ⋮
\((2,3)\)-generation of \(PSp(4,q)\), \(q=p^ n\), \(p\neq 2,3\) ⋮
A reduction theorem for Dade's projective conjecture ⋮
Simple connectivity of \(p\)-group complexes ⋮
On monodromy groups of fixed genus ⋮
\(3\)-transposition groups of orthogonal type ⋮
On the existence of translation nets ⋮
Semisimple groups acting on semisimple groups. ⋮
\(RC_G(R)\)-signalizers in finite groups. ⋮
Character separation and principal covering. ⋮
On Bruck loops of 2-power exponent. ⋮
Generators and commutators in finite groups; abstract quotients of compact groups. ⋮
On the uniqueness of the Harada-Norton group ⋮
Generation of fusion systems of characteristic 2-type. ⋮
On Baer-Suzuki \(\pi\)-theorems. ⋮
Product decompositions of quasirandom groups and a Jordan type theorem. ⋮
A group-theoretic approach to a family of 2-local finite groups constructed by Levi and Oliver. ⋮
On finite groups acting on \(\mathbb Z_2\)-homology 3-spheres ⋮
The finite Bruck loops. ⋮
On Bol loops of exponent 2. ⋮
A 2-local characterization of \(M(24)'\). ⋮
Schur rings over a Galois ring of odd characteristic ⋮
Spherical posets from commuting elements ⋮
Overgroups of primitive groups. II. ⋮
Frattini argument for Hall subgroups. ⋮
On the Ree unital ⋮
On classifying all full factorisations and multiple-factorisations of the finite almost simple groups ⋮
Signalizer lattices in finite groups. ⋮
A semiclassical parabolic system related to \(F_4\) ⋮
Some results about Quillen complex of \(\text{Sp}_{2n}(q)\) ⋮
Finite groups in which the normalizers of pairwise intersections of Sylow 2-subgroups have odd indices. ⋮
A group-theoretic framework for the construction of packings in Grassmannian spaces ⋮
OD-characterization of alternating and symmetric groups of degrees 16 and 22. ⋮
Some semiclassical parabolic systems of rank \(4\) ⋮
On strongly \(p\)-embedded subgroups of Lie rank 2. ⋮
Recognition by spectrum of the groups \(^2D_{2^m+1}(3)\). ⋮
Decomposing \(p\)-groups via Jordan algebras. ⋮
Extending partial isomorphisms and McAlister's covering theorem ⋮
A construction of difference sets in high exponent 2-groups using representation theory ⋮
On pronormality and strong pronormality of Hall subgroups ⋮
A 3-local characterization of \(M(24)\) ⋮
Groups with bounded centralizer chains and the Borovik-Khukhro conjecture ⋮
On spectra of almost simple extensions of even-dimensional orthogonal groups ⋮
Finite groups whose prime graphs do not contain triangles. II ⋮
The essential ideal in group cohomology does not square to zero. ⋮
Abnormality criteria for \(p\)-complements ⋮
Quadratic pairs. ⋮
Variations on a theorem by Alan Camina on conjugacy class sizes. ⋮
The order of the product of two elements ⋮
Projective aspects of the AES inversion ⋮
Pronormality of Hall subgroups in their normal closure ⋮
Spreads, ovoids and \(S_ 5\) ⋮
Equations in characteristic 3 with Mathieu groups as their Galois groups ⋮
Some homotopy equivalences for sporadic geometries ⋮
Construction of classes of subgroups of small index in \(p\)-groups ⋮
Fusion systems with \(U_3(3)\) J-components ⋮
Generating finite 3-transposition groups ⋮
Characters and random walks on finite classical groups ⋮
Odd automorphisms of Sylow \(2\)-subgroups of sporadic simple groups ⋮
Finite groups whose prime graphs do not contain triangles. I ⋮
On the finite prime spectrum minimal groups ⋮
Finite almost simple groups with prime graphs all of whose connected components are cliques ⋮
Cubic arc-transitive \(k\)-multicirculants ⋮
Some amalgams in characteristic \(3\) related to \(Co_ 1\) ⋮
On the possible number of elements of given order in a finite group ⋮
A generalisation of a theorem of Wielandt ⋮
Variations on polynomial subgroup growth ⋮
Upper bounds for the number of conjugacy classes of a finite group ⋮
On variants of \(o\)-minimality ⋮
Hadamard difference sets in nonabelian 2-groups with high exponent ⋮
On the width of transitive sets: bounds on matrix coefficients of finite groups ⋮
Remarks on profinite groups having few open subgroups ⋮
Reduced fusion systems over 2-groups of small order ⋮
On cubic symmetric non-Cayley graphs with solvable automorphism groups ⋮
Nilpotent injectors in minimal simple groups. ⋮
On groups isospectral to the automorphism group of the second sporadic group of Janko ⋮
Nonabelian composition factors of a finite group whose all maximal subgroups are Hall. ⋮
The 2-fusion system of an almost simple group ⋮
Hyperbolic modules and cyclic subgroups. ⋮
\(E\)-constrained groups. ⋮
On finite simple groups acting on homology spheres ⋮
A diameter bound for extensions of the \(F_{4}\)(2)-building ⋮
Existence of non-Cayley Haar graphs ⋮
Two remarks on the Glauberman-Isaacs character correspondence. ⋮
Topology of order complexes of intervals in subgroup lattices. ⋮
Order 4 elements of linear and collineation groups. ⋮
Fixed point polynomials of permutation groups. ⋮
Steiner loops of affine type ⋮
On Donovan's conjecture. ⋮
Collineation groups with perspectivities. ⋮
On recognition of the sporadic simple groups \(HS\), \(J_3\), \(Suz\), \(O'N\), \(Ly\), \(Th\), \(Fi_{23}\), and \(Fi'_{24}\) by the Gruenberg-Kegel graph ⋮
Classifying space for quantum contextuality ⋮
Invariable generation of permutation and linear groups ⋮
The Picard group of a structural matrix algebra ⋮
The Quillen complex of groups of symplectic type: the characteristic 2 case. ⋮
Primitive ovoids in \(O_8^+ (q)\) ⋮
Finite symmetric graphs with 2-arc-transitive quotients: general affine case ⋮
Fusion systems on a Sylow \(p\)-subgroup of \(SU_4(p)\) ⋮
On finite nonsolvable 5-primary groups with disconnected Gruenberg-Kegel graph such that \(|\pi(G/F(G))|\leq 4\) ⋮
Primitive permutation groups with a suborbit of length 5 and vertex-primitive graphs of valency 5 ⋮
Carter subgroups and Fitting heights of finite groups ⋮
Selected group-theoretic aspects of confirmation measure symmetries ⋮
Recognizability by prime graph of the group \(^2E_6(2)\) ⋮
On the homotopy type of the Quillen complex of finite soluble groups ⋮
On finite groups with a certain number of centralizers. ⋮
On Oliver's \(p\)-group conjecture. II. ⋮
Almost equal group multiplications ⋮
An identification of the Monster group. ⋮
Donovan's conjecture and extensions by the centralizer of a defect group ⋮
The rank of the automorphism group of a finite group ⋮
Classifying blocks with abelian defect groups of rank 3 for the prime 2 ⋮
The projective character tables of a solvable group \(2^6:(6\times 2)\) ⋮
Recognition of the sporadic simple groups \(Ru\), \(HN\), \(Fi_{22}\), \(He\), \(M^cL\), and \(Co_3\) by their Gruenberg-Kegel graphs ⋮
Overgroups of second maximal subgroups ⋮
The finite quotients of the multiplicative group of a division algebra of degree \(3\) are solvable ⋮
Construction of 2-local finite groups of a type studied by Solomon and Benson ⋮
Clifford theory and tensor induction ⋮
On the determination of Sylow numbers ⋮
Baer-Suzuki theorem for the \(\pi \)-radical ⋮
Character degrees in blocks and defect groups ⋮
On the pronormality of second maximal subgroups in finite groups with socle \(L_2(q)\) ⋮
Some unsolvable conjectures in finite \(p\)-groups ⋮
On finite totally \(2\)-closed groups ⋮
Primitive permutation groups with a solvable subconstituent of degree 7 ⋮
Cyclic matrices in classical groups over finite fields ⋮
Cosubnormality and the hypercenter ⋮
On primitive linear representations of finite groups ⋮
On the character degree graph of finite groups ⋮
Finite linear groups and bounded generation ⋮
Bases of primitive linear groups. ⋮
Malnormal subgroups and Frobenius groups: basics and examples. With an appendix by Denis Osin. ⋮
On finite non-solvable groups whose Gruenberg-Kegel graphs are isomorphic to the paw ⋮
Finite groups of \(G_2(3)\)-type ⋮
Linear groups and collineation groups of translation planes ⋮
Quadratic pairs without components ⋮
On the composition length of finite primitive linear groups ⋮
Strong near subgroups and left gyrogroups ⋮
A 2-local characterization of the Higman-Sims group ⋮
Symplectic groups and permutation polynomials. II ⋮
On splitting of the normalizer of a maximal torus in orthogonal groups ⋮
THE ESSENTIAL RANK OF FUSION SYSTEMS OF BLOCKS OF SYMMETRIC GROUPS ⋮
UNIPOTENT ELEMENTS IN REPRESENTATIONS OF FINITE GROUPS OF LIE TYPE ⋮
Hudson’s theorem for finite-dimensional quantum systems ⋮
On the Christensen-Wang bounds for the ghost number of a \(p\)-group algebra ⋮
Finite simple groups that are not spectrum critical ⋮
Irreducible adjoint representations in prime power dimensions, with an application ⋮
On irreducible modules for the Suzuki groups ⋮
Reduced fusion systems over 2-groups of sectional rank at most 4 ⋮
Notes on the Drinfeld Double of Finite-dimensional Group Algebras ⋮
Failure of factorization modules for lie-type groups in odd characteristic ⋮
Centers of Generic Hecke Algebras ⋮
Orbits of the stabiliser group of the Segre variety product of three projective lines ⋮
The general theory of 3-transposition groups ⋮
A class of finite simple Bol loops of exponent 2 ⋮
OVERGROUPS OF PRIMITIVE GROUPS ⋮
On the order of the automorphism group of a surface of general type ⋮
Involutory homologies on affine planes: The conclusion ⋮
Unnamed Item ⋮
Semisimple groups with the rewriting property Q5 ⋮
Submaximal soluble subgroups of odd index in alternating groups ⋮
Finite localities I ⋮
Almost cyclic elements in Weil representations of finite classical groups ⋮
Galois theory on the line in nonzero characteristic ⋮
Generating finite groups with conjugates of a subgroup ⋮
ON THE GENERATING GRAPH OF A SIMPLE GROUP ⋮
On primitive monodromy groups of genus zero and one 1 ⋮
Fusion systems with J-components over \(F_{2^e}\) with \(e>1\) ⋮
FINITE SPECIAL MOUFANG SETS OF EVEN CHARACTERISTIC ⋮
FINITE SPECIAL MOUFANG SETS OF ODD CHARACTERISTIC ⋮
Overgroup lattices in finite groups of Lie type containing a parabolic. ⋮
Fusion systems realizing certain Todd modules ⋮
Minimal and random generation of permutation and matrix groups. ⋮
Quillen's conjecture and the kernel on components ⋮
Classification of solvable groups possessing a unique nonlinear non-faithful irreducible character. ⋮
Resolution of singularities and modular Galois theory ⋮
Minimal characters of the finite classical groups ⋮
Further Nice Equations for Nice Groups ⋮
Finite Groups with Four Conjugacy Class Sizes ⋮
Finite groups in which any two elements of the same order are either fused or inverse-fused ⋮
Regular hyperbolic fibrations ⋮
Paramodular abelian varieties of odd conductor ⋮
Toward the -theorem ⋮
Algebra and automated deduction ⋮
Composition factors of rational finite groups. ⋮
Standard components of alternating type centralized by a 4-group. ⋮
Bounds for finite primitive complex linear groups. ⋮
A characterization of the sporadic group of Lyons. ⋮
A note on the cohomology of finitary modules ⋮
Structure of finite groups under certain arithmetical conditions on class sizes. ⋮
The extraspecial case of the 𝑘(𝐺𝑉) problem ⋮
Automorphisms fixing every subnormal subgroup of a finite group ⋮
Localization and finite simple groups. ⋮
On intervals in subgroup lattices of finite groups ⋮
Near subgroups of finite groups ⋮
The Uniqueness of Groups of Lyons Type ⋮
THE NUMBER OF CONJUGACY CLASSES CONTAINED IN NORMAL SUBGROUPS OF SOLVABLE GROUPS ⋮
Embeddings of finite classical groups over field extensions and their geometry ⋮
A Hall-Higman-Shult type theorem for arbitrary finite groups. ⋮
Functors on the Category of Finite Sets ⋮
Projective planes, loops, and groups. ⋮
Automorphisms and fusion in finite groups. ⋮
A 3-local characterization of \(U_6(2)\) and \(Fi_{22}\). ⋮
On groups of local characteristic \(p\). ⋮
Correction to: Construction of 2-local finite groups of a type studied by Solomon and Benson ⋮
Normalizers of the Sylow 2-subgroups in finite simple groups. ⋮
On some examples of simple quantum groups ⋮
More on b-injectors of sporadic groups+ ⋮
Large doubly transitive orbits on a line ⋮
The structure of locally finite groups of finite c-dimension ⋮
On nonabelian composition factors of a finite prime spectrum minimal group. ⋮
On the coincidence of Grünberg-Kegel graphs of a finite simple group and its proper subgroup. ⋮
The admissibility of sporadic simple groups. ⋮
Automorphisms of soluble groups ⋮
The generalized Fitting subsystem of a fusion system ⋮
Finite Bruck loops ⋮
The structure of commutative automorphic loops ⋮
A new notion of rank for finite supersolvable groups and free linear actions on products of spheres ⋮
Fusion systems with alternating J‐components ⋮
Again nice equations for nice groups ⋮
More nice equations for nice groups ⋮
Almost regular involutory automorphisms of uniquely $2$-divisible groups ⋮
Weil Representations and Some Nonreductive Dual Pairs in Symplectic and Unitary Groups ⋮
Some symmetric designs invariant under the small Ree groups ⋮
Lower bounds for the number of conjugacy classes of finite groups ⋮
Saturated fusion systems over $2$-groups ⋮
Imaginary transformations ⋮
On Regular Orbits of Elements of Classical Groups in Their Permutation Representations ⋮
Absolute Fourth Moments and Finiteness of Linear Groups ⋮
Residual solvability of unit groups of local group rings ⋮
AN IDENTIFICATION THEOREM FOR GROUPS WITH SOCLE PSU ⋮
Equivalences between fusion systems of finite groups of Lie type ⋮
Arithmetic of division fields ⋮
Nonabelian free subgroups in homomorphic images of valued quaternion division algebras ⋮
Unitriangular actions on quadratic forms and character degrees. ⋮
Rational invariants of certain orthogonal groups over finite fields of characteristic two ⋮
A 3-local Characterization forM11 ⋮
Quadratic action and the 𝒫(G, V)-theorem in arbitrary characteristic ⋮
The soluble subgroups and the Tits alternative in linear groups over rings of fractions of polycyclic group rings, II ⋮
Two amalgams related to the alternating group on six letters ⋮
Strongly base-two groups ⋮
Non-solvable groups whose character degree graph has a cut-vertex. I ⋮
The 2‐fusion system of the Monster ⋮
Realizability and tameness of fusion systems ⋮
On basic 2-arc-transitive graphs ⋮
A criterion for nilpotency in finite groups ⋮
Unnamed Item ⋮
On the connectivity of the subpair complex of a block ⋮
A conjugacy class as a transversal in a finite group ⋮
On the number of generators and composition length of finite linear groups ⋮
On TI and TI defect blocks ⋮
Local analysis of the normalizer problem ⋮
Coprime automorphisms and their commutators ⋮
Quasiprimitve linear groups with quadratic elements