A new characterization of alternating and symmetric groups.

DOI10.1007/BF02936052zbMath1066.20012MaRDI QIDQ1767382

Ashraf Daneshkhah, Seyed Hassan Alavi

Publication date: 10 March 2005

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

zbMATH Keywords

symmetric groupsalternating groupssimple groupsThompson conjectureprime graphssets of element ordersorder componentsShi conjecture

Mathematics Subject Classification ID

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

Related Items

On Thompson's conjecture for alternating groups of large degree ⋮ On Thompson's conjecture for alternating and symmetric groups of degree greater than 1361. ⋮ Recognizing Finite Groups Through Order and Degree Pattern ⋮ Thompson’s conjecture for alternating groups ⋮ 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 \(n=2m+1\geq 5\). ⋮ On Thompson’s conjecture for finite simple groups ⋮ Several quantitative characterizations of some specific groups

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