A new characterization of some alternating and symmetric groups.

DOI10.1155/S0161171203202386zbMath1036.20015MaRDI QIDQ1415137

Behrooz Khosravi, Amir Khosravi

Publication date: 3 December 2003

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/50724

zbMATH Keywords

symmetric groupscentralizersalternating groupsorder componentsfinite simple \(C_{pp}\)-groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (5)

Thompson's conjecture for alternating group of degree 22. ⋮ Recognition of the simple groups \(^2 D_8((2^n)^2)\) ⋮ On groups whose irreducible character degrees of all proper subgroups are all prime powers ⋮ Characterizability of the group \(^2D_p(3)\) by its order components, where \(p\geq 5\) is a prime number not of the form \(2^m+1\). ⋮ A characterization of the group \(^2D_n(2)\), where \(n=2m+1\geq 5\).

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