Finite groups generated by 3-transpositions. I
From MaRDI portal
Publication:2550798
DOI10.1007/BF01404633zbMath0232.20040WikidataQ55966869 ScholiaQ55966869MaRDI QIDQ2550798
Publication date: 1971
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/142094
Simple groups: sporadic groups (20D08) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Abstract finite groups (20D99)
Related Items
Diagrams for symplectic type configurations, The Conway-Miyamoto correspondences for the Fischer 3-transposition groups, The string C-group representations of the Suzuki, Rudvalis and O'Nan sporadic groups, Matrix generators for Fischer's group Fi24, Invariant lattices of typeF4andF4: the automorphism groups, The general theory of 3-transposition groups, INVOLUTION GRAPHS WHERE THE PRODUCT OF TWO ADJACENT VERTICES HAS ORDER THREE, SUBGROUPS OF 3-TRANSPOSITION GROUPS GENERATED BY FOUR 3-TRANSPOSITIONS, Subgroups of Classical Groups Generated by Long Root Elements, Presentations of some 3-transposition groups, Commuting involution graphs for, Characterizations of the Fischer Groups. I, II, III, Commuting graph of CA−groups, A study of enhanced power graphs of finite groups, A new existence proof of Fi22 in 2E6(2), a computational approach, Commuting involution graphs in classical affine Weyl groups, ON THE RANKS OF FISCHER GROUP Fi23, Commuting involution graphs for 4-dimensional projective symplectic groups, Characters and Brauer trees of the covering group of ²𝐸₆(2), Conway’s groupoid and its relatives, The Primitive Distance-Transitive Representations of the Fischer Groups, A characterization of the symplectic and unitary 3-transposition groups, Characterization of groups by their character tables I, Characterization of groups by their character tables II, Finite groups in which the generalized fitting group of the centraliser of some involution is symplectic but not extraspecial, On the ranks of Fischer group $Fi_{24}^{,prime}$ and the Baby Monster group $mathbb{B}$, Subgroups generated by transpositions in f22and f23, The non-principal 2-blocks of sporadic simple groups*, Research topics in finite groups and vertex algebras, Schur Multipliers of Finite Simple Groups of Lie Type, The existence and uniqueness of a simple group generated by {3,4} - transpositions, Some 3-transposition cohomology, Transposition Algebras, A Homomorphism Theorem for Finite Graphs, Connections between finite linear groups and linear algebra, Double axes and subalgebras of Monster type in Matsuo algebras, The Character Table of an Eight-Dimensional Orthogonal Group, On the character tables of finite groups generated by 3-transpositions, Unnamed Item, Near polygons and Fischer spaces, Rational rigidity and the sporadic groups, Commuting Involution Graphs in Special Linear Groups, Une caractérisation des graphes associés aux groupes de Fischer. (A characterization of graphs associated with Fischer groups), On Lie algebras with monomial basis, Geometric characterization of the sporadic groups \(Fi_{22}\), \(Fi_{23}\), and \(Fi_{24}\), Classifying the finite simple groups, The Conway-Norton algebras for \(\Omega ^ -(6,3)\), \(\Omega\) (7,3), \(F'_{24}\), and their full automorphism groups, On geometries of the Fischer groups, Generating finite 3-transposition groups, On the number of conjugates defining the solvable radical of a finite group., Killing metrized commutative nonassociative algebras associated with Steiner triple systems, Une construction du groupe de Fischer $Fi(24)$, \((3, q, r)\)-generations of Fischer's sporadic group \(\mathrm{Fi}^\prime_{24}\), 3-transpositions in infinite groups, On finite groups generated by odd transpositions. II, On finite groups generated by odd transpositions. III, On finite groups generated by odd transpositions. IV, Generation of Finite Groups of Lie Type, On finite groups of Lie type and odd characteristic, Fischer subspaces of Hermitian manifolds, The second degree cohomology of finite orthogonal groups. II, Commuting involution graphs for symmetric groups., A characterization of M(22)., On Fischer's characterization of \(\Sigma_4\) and \(\Sigma_5\)., Lie algebras and 3-transpositions, Finite groups of rank 3.I, Subgroups of exceptional groups of Lie type generated by long root elements. I. Odd characteristic, Subgroups of exceptional groups of Lie type generated by long root elements. II. Characteristic two, Braided racks, Hurwitz actions and Nichols algebras with many cubic relations., Some subgroups of SL(n,\(2^ m)\). I, Moufang loops of odd prime exponent p and a class of linear spaces of order p, Finite groups with a standard 3-component isomorphic to \(\Omega^\pm(2m,2)\), \(m\geq 5\), \(F_ 4(2)\) or \(E_ n(2)\), \(n=6,7,8\), On Chevalley-groups acting on projective planes, A classification of flag-transitive classical \(c.C_ 2\)-geometries by means of generators and relations, Pieces of eight: semiselfdual lattices and a new foundation for the theory of Conway and Mathieu groups, A brief history of the classification of the finite simple groups, Some polar towers, 3-transposition groups with non-central normal 2-subgroups, Odd-dimensional orthogonal groups as amalgams of unitary groups. II: Machine computations., Commuting involution graphs for sporadic simple groups., A proof of a conjecture by Jabara on groups in which all involutions are odd transpositions, Groups of type \(\Sigma_ 4\) generated by 3-transpositions, Groups generated by \(k\)-root subgroups, Jordan algebras and 3-transposition groups, Local indecomposability of certain geometric graphs, Certain orthogonal and symplectic groups as Galois groups over \(\mathbb{Q}\), \(3\)-transposition groups of orthogonal type, On the maximum cocliques of the rank 3 graph of 211:M24, On commuting graphs for elements of order 3 in symmetric groups, On the uniqueness of the Harada-Norton group, Diagrams in Categories of Partial Linear Spaces of Order Two, Presentations of Fischer groups. II, Groups generated by root-involutions. I, Schur multipliers of some sporadic simple groups, A characterization of the finite simple group M(23), Groups generated by root-involutions. II, On the minimal degrees of projective representations of the finite Chevalley groups, The classification of finite simple groups I. Simple groups and local analysis, The geometry of \(k\)-transvection groups, A characterization of the full wreath product., A 3-local characterization of \(U_6(2)\) and \(Fi_{22}\)., Irreducible groups generated by transvections over finite fields of characteristic two, A characterization of Fischer's sporadic simple group of the order \(2^{41}\cdot 3^{13}\cdot 5^2\cdot 7\cdot 11\cdot 13\cdot 17\cdot 19\cdot 23\cdot 31\cdot 47\), The connectivity of commuting graphs, On the subgroups of the group \(PSL_4(2^m)\), Locally polar spaces and related rank 3 groups, A description of the Fischer group \(F_{22}\), A description of the Fischer group \(F_{23}\), Eine Charakterisierung einiger endlicher einfacher Gruppen durch \(\mathfrak F\)-Mengen, A characterization of the Fischer group \(M(23)\) by a 2-local subgroup, Some simple groups related to \(M_{24}\), Tightly embedded subgroups of finite groups, Einige Gruppen von Charakteristik 2-Typ, A 2-local characterization of the simple groups M(24)',.1, and \(J_4\), Some subgroups of GL(n,2) generated by involutions. I, Some subgroups of GL(n,2) generated by involutions. II, An existence lemma for groups generated by \(3\)-transpositions, Einige endliche Faktorgruppen der Zopfgruppen, The subgroups of \(PSL(5,2^a)\), Large extraspecial subgroups of widths 4 and 6, FINITE NORMAL 2-GEODESIC TRANSITIVE CAYLEY GRAPHS, The spectra of finite 3-transposition groups, On finite groups generated by odd transpositions. I, Linear groups and distance-transitive graphs, McKay's \(E_6\) observation on the largest Fischer group, A characterization of the finite simple group M(22), On \((2,3)\)-generation of Fischer's largest sporadic simple group \(\mathrm{Fi}_{24}^\prime\), Some graphs related to the small Mathieu groups, Designs and codes from basic 3-transpositions, Sur les couples Fischeriens de largeur 1, On groups whose commuting graph on a transversal is strongly regular, CHARACTERIZATION OF SOLVABLE GROUPS AND SOLVABLE RADICAL, Symmetric presentations for the Fischer groups. II: The sporadic groups., Groups generated by elations, Irreducible collineation groups fixing a hyperoval, A uniqueness lemma for groups generated by 3-transpositions, Présentation de certains couples fischériens de type classique, Primitive axial algebras of Jordan type, Symmetric subgroups of finite groups
Cites Work