On finite groups isospectral to the simple groups \(S_4(q)\)
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Publication:2285189
DOI10.17377/semi.2018.15.046zbMath1436.20036MaRDI QIDQ2285189
Publication date: 16 January 2020
Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)
Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06)
Related Items
Composition factors of the finite groups isospectral to simple classical groups, On the nilpotency of the solvable radical of a finite group isospectral to a simple group, Finite groups isospectral to simple groups, On finite groups isospectral to the simple group \(S_4(3)\)
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Cites Work
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- 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.
- On the structure of finite groups isospectral to finite simple groups.
- A solvable group isospectral to \(S_4(3)\).
- A criterion of unrecognizability by spectrum for finite groups.
- 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 \(^3D_4(2)\).
- Chevalley groups of type \(G_ 2\) as the group of a trilinear form
- Prime graph components of finite groups
- Finite groups whose element orders are consecutive integers
- The action of \(F_4(q)\) on cosets of \(B_4(q)\)
- Recognition of alternating groups of prime degree from their element orders
- On spectra of almost simple extensions of even-dimensional orthogonal groups
- On finite groups isospectral to \(U_3(3)\)
- On orders of elements of finite almost simple groups with linear or unitary socle
- On finite simple groups with the set of element orders as in a Frobenius group or a double Frobenius group.
- Groups critical with respect to the spectra of alternating and sporadic groups.
- Almost recognizability by spectrum of simple exceptional groups of Lie type.
- Spectra of finite simple groups \(E_6(q)\) and \(^2E_6(q)\).
- Exceptional action of the simple groups \(L_4(q)\) in the defining characteristic.
- Finite simple groups that are not spectrum critical
- On spectra of automorphic extensions of finite simple groups F4(q) and 3D4(q)
- Spectra of finite symplectic and orthogonal groups
- Spectra of finite linear and unitary groups
- Character Table and Blocks of Finite Simple Triality Groups 3 D 4 (q)
- A characterization of some alternating and symmetric groups
- Element orders in covers of finite simple groups of Lie type
- The Characters of the Finite Symplectic Group Sp(4,q)
