On finite groups isospectral to finite simple unitary groups over fields of characteristic 2.

DOI10.17377/semi.2013.10.003zbMath1330.20022MaRDI QIDQ890971

Wujie Shi, Mariya A. Grechkoseeva

Publication date: 16 November 2015

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

zbMATH Keywords

finite simple groupsunitary groupsfinite groups of Lie typefinite classical groupssets of element ordersspectra of groupsisospectral groupsrecognizable groupsrecognition by spectrumfield automorphisms

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (8)

On spectra of almost simple extensions of even-dimensional orthogonal groups ⋮ On spectra of almost simple groups with symplectic or orthogonal socle ⋮ Composition factors of the finite groups isospectral to simple classical groups ⋮ On orders of elements of finite almost simple groups with linear or unitary socle ⋮ Finite groups isospectral to simple groups ⋮ On finite groups isospectral to simple classical groups. ⋮ The recognition of finite simple groups with no elements of order $10$ by their element orders ⋮ Recognition by spectrum for simple classical groups in characteristic 2.

This page was built for publication: On finite groups isospectral to finite simple unitary groups over fields of characteristic 2.