Finite groups isospectral to simple groups
From MaRDI portal
Publication:6168746
DOI10.1007/s40304-022-00288-5zbMath1520.20052arXiv2111.15198MaRDI QIDQ6168746
Mariya A. Grechkoseeva, Wujie Shi, Victor D. Mazurov, Nanying Yang, Andrey V. Vasilev
Publication date: 11 July 2023
Published in: Communications in Mathematics and Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.15198
Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite simple groups and their classification (20D05)
Related Items (6)
On the prime graph of a finite group with unique nonabelian composition factor ⋮ On recognition of direct powers of finite simple linear groups by spectrum ⋮ On characterization by Gruenberg-Kegel graph of finite simple exceptional groups of Lie type ⋮ Primitive prime divisors of orders of Suzuki-Ree groups ⋮ On multidimensional Schur rings of finite groups ⋮ A criterion for nonsolvability of a finite group and recognition of direct squares of simple groups
Cites Work
- A characterization of some alternating and symmetric groups
- Recognition of the simple groups L3(q) by element orders
- Groups with complete prime graph connected components
- Element orders in covers of finite simple groups of Lie type
- The group J4 × J4 is recognizable by spectrum
- On the prime graph of a finite group with unique nonabelian composition factor
- On almost recognizability by spectrum of simple classical groups
- Recognition of symplectic and orthogonal groups of small dimensions by spectrum
- On Thompson’s conjecture for finite simple groups
- On a class of doubly transitive groups
- The characterization of \(\text{PSL}(2,q)\) by its element orders
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Recognition by spectrum for simple classical groups in characteristic 2.
- 2-Frobenius groups isospectral to the simple group \(U_3(3)\).
- On spectra of almost simple groups with symplectic or orthogonal socle
- Recognizability of groups \(G_2(q)\) by spectrum.
- Recognizability of alternating groups by spectrum.
- Characterization of the finite simple groups by spectrum and order.
- On finite groups isospectral to simple classical groups.
- On the structure of finite groups isospectral to finite simple groups.
- On finite groups isospectral to simple linear and unitary groups.
- A solvable group isospectral to \(S_4(3)\).
- Recognition of simple groups \(B_p(3)\) by the set of element orders.
- Groups isospectral to the degree 10 alternating group.
- On recognizability of some finite simple orthogonal groups by spectrum.
- On element orders in covers of finite simple classical groups.
- A criterion of unrecognizability by spectrum for finite groups.
- Cocliques of maximal size in the prime graph of a finite simple group
- On the characterizability of the automorphism groups of sporadic simple groups by their element orders.
- On element orders in coverings of the simple groups \(L_n(q)\) and \(U_n(q)\).
- On recognizability by spectrum of finite simple groups of types \(B_n\), \(C_n\), and \(^2D_n\) for \(n=2^k\).
- Infinite groups of finite period.
- Quasirecognizability of simple unitary groups over fields of even order.
- On finite groups isospectral to finite simple unitary groups over fields of characteristic 2.
- On groups critical with respect to a set of natural numbers.
- Spectra of automorphic extensions of finite simple symplectic and orthogonal groups over fields of characteristic 2.
- Unrecognizability by spectrum of finite simple orthogonal groups of dimension nine.
- Unrecognizability by spectrum for the finite simple group \(^3D_4(2)\).
- Recognizing by spectrum for the automorphism groups of sporadic simple groups.
- Recognition by spectrum for finite simple groups of Lie type.
- On periodic groups with prescribed orders of elements.
- Recognition by spectrum of the groups \(^2D_{2^m+1}(3)\).
- Investigations on the Burnside problem and questions connected with it
- Prime graph components of finite groups
- Finite groups whose element orders are consecutive integers
- The characterization of Ree groups \(^2F_4(q)\) by their element orders
- A characterization of finite simple groups with abelian Sylow \(2\)-subgroups
- Groups whose elements have given orders
- Recognition of alternating groups of prime degree from their element orders
- A characterization of some orthogonal groups
- On spectra of almost simple extensions of even-dimensional orthogonal groups
- Orders of elements of finite almost simple groups
- On finite groups isospectral to \(U_3(3)\)
- On orders of elements of finite almost simple groups with linear or unitary socle
- On groups isospectral to the automorphism group of the second sporadic group of Janko
- On recognition by spectrum of the simple groups \(B_3(q)\), \(C_3(q)\), and \(D_4(q)\).
- Almost recognizability by spectrum of finite simple linear groups of prime dimension.
- Spectra of groups \(E_8(q)\)
- On finite simple groups with the set of element orders as in a Frobenius group or a double Frobenius group.
- Prime graph components of finite almost simple groups
- Characterization of groups with non-simple socle
- On the nilpotency of the solvable radical of a finite group isospectral to a simple group
- On element orders in covers of \(L_4(q)\) and \(U_4(q)\)
- On recognition of \(L_4(q)\) and \(U_4(q)\) by spectrum
- On finite groups isospectral to the simple group \(S_4(3)\)
- On finite groups isospectral to the simple groups \(S_4(q)\)
- Groups critical with respect to the spectra of alternating and sporadic groups.
- Almost recognizability by spectrum of simple exceptional groups of Lie type.
- Recognizability of symmetric groups by spectrum.
- Spectra of automorphic extensions of finite simple exceptional groups of Lie type
- Insolubility of finite groups which are isospectral to the alternating group of degree 10.
- Exceptional action of the simple groups \(L_4(q)\) in the defining characteristic.
- On recognition by spectrum of symmetric groups.
- Composition factors of the finite groups isospectral to simple classical groups
- On spectra of automorphic extensions of finite simple groups F4(q) and 3D4(q)
- A Note on the Adjacency Criterion for the Prime Graph and the Characterization of Cp(3)
- Finite Groups in Which Every Element Has Prime Power Order
- RECOGNITION OF SOME FINITE SIMPLE GROUPS OF TYPE Dn(q) BY SPECTRUM
- Quasirecognizability by the Set of Element Orders for Groups 3 D 4(q) and F 4(q), for q Odd
- An Adjacency Criterion for the Prime Graph of a Finite Simple Group
- The Recognition of the Simple Group S8(2) by Its Spectrum
- Recognition of the finite almost simple groups PGL2(q) by their spectrum
- Quasirecognizability by the Set of Element Orders for Groups 3 D 4(q), for q Even
- Recognition of simple groups U 3(Q) by element orders
- PRIME GRAPH COMPONENTS OF FINITE SIMPLE GROUPS
- Irreducible components and isomorphisms of the Burnside ring
- Properties of element orders in covers for L(n,q) and U(n,q)
- Recognizability of finite simple groups L 4(2m) and U 4(2m) by spectrum
- Spectra of finite linear and unitary groups
- Recognition by spectrum for finite linear groups over fields of characteristic 2
- Recognition by spectrum for finite simple linear groups of small dimensions over fields of characteristic 2
- Recognition of Finite Simple Linear Groups L4(2k) by Spectrum
- A New Characterization ofA22by Its Spectrum
- A characteristic property ofA 8
- A Characterization of Suzuki's Simple Groups
This page was built for publication: Finite groups isospectral to simple groups
