On groups critical with respect to a set of natural numbers.

DOI10.17377/SEMI.2013.10.054zbMath1330.20039MaRDI QIDQ891043

Yuri V. Lytkin

Publication date: 16 November 2015

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

zbMATH Keywords

finite groupscritical groupscomposition factorssets of element ordersspectra of groupsisospectral groupsrecognizable groupsrecognition by spectrum

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (8)

Criterion of unrecognizability of a finite group by its Gruenberg-Kegel graph ⋮ Unnamed Item ⋮ On finite groups isospectral to \(U_3(3)\) ⋮ On recognition of alternating groups by prime graph ⋮ Finite groups isospectral to simple groups ⋮ 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.

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