Groups critical with respect to the spectra of alternating and sporadic groups.

DOI10.1134/S0037446615010103zbMath1318.20026MaRDI QIDQ2352669

Yanyan Li

Publication date: 3 July 2015

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

zbMATH Keywords

critical groupssets of element ordersspectra of finite groupsnonabelian simple groupsalternating group of degree 10second Janko group

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (5)

Unnamed Item ⋮ On finite groups isospectral to \(U_3(3)\) ⋮ 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 \(S_4(q)\)

Uses Software

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• ATLAS Group Representations

Cites Work

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• Recognizability of alternating groups by spectrum.
• Groups isospectral to the degree 10 alternating group.
• A criterion of unrecognizability by spectrum for finite groups.
• On groups critical with respect to a set of natural numbers.
• A characterization of some alternating and symmetric groups

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