On recognition of \(L_4(q)\) and \(U_4(q)\) by spectrum

DOI10.1134/S0037446620060063zbMath1477.20031OpenAlexW3122411842MaRDI QIDQ2222191

M. A. Zvezdina, Mariya A. Grechkoseeva

Publication date: 26 January 2021

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446620060063

zbMATH Keywords

prime graphisospectral groupsrecognition by spectrumelement ordercomposition factorgroup of Lie typesimple classical groupZsigmondy primes

Mathematics Subject Classification ID

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) Exceptional groups (20G41)

Related Items (5)

Criterion of unrecognizability of a finite group by its Gruenberg-Kegel graph ⋮ Composition factors of the finite groups isospectral to simple classical groups ⋮ On \(p\)-index extremal groups ⋮ Finite groups isospectral to simple groups ⋮ The recognition of finite simple groups with no elements of order $10$ by their element orders

Cites Work

• Finite groups with a five-component prime graph.
• 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.
• Cocliques of maximal size in the prime graph of a finite simple group
• On recognizability by spectrum of finite simple groups of types \(B_n\), \(C_n\), and \(^2D_n\) for \(n=2^k\).
• 3-blocks and 3-modular characters of \(G_ 2(q)\)
• On the decomposition numbers of \(G_ 2(q)\)
• Über die Zerlegungszahlen der Suzukigruppen Sz(q)
• On spectra of almost simple extensions of even-dimensional orthogonal groups
• Orders of elements of finite almost simple groups
• On orders of elements of finite almost simple groups with linear or unitary socle
• Almost recognizability by spectrum of finite simple linear groups of prime dimension.
• 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 \(U_4(q)\)
• Finite simple groups with narrow prime spectrum.
• On spectra of automorphic extensions of finite simple groups F4(q) and 3D4(q)
• Spectra of finite symplectic and orthogonal groups
• On the maximum orders of elements of finite almost simple groups and primitive permutation groups
• An Adjacency Criterion for the Prime Graph of a Finite Simple Group
• Spectra of finite linear and unitary groups
• Character Table and Blocks of Finite Simple Triality Groups 3 D 4 (q)
• Blocks and brauer trees for the groupsG₂(2^k), G₂(3^k)
• On Zsigmondy primes
• Finite simple unisingular groups of Lie type
• On almost recognizability by spectrum of simple classical groups
• Recognition of symplectic and orthogonal groups of small dimensions by spectrum
• Recognition of finite groups by the prime graph
• On a class of doubly transitive groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On recognition of \(L_4(q)\) and \(U_4(q)\) by spectrum