This article is cited in 12 papers

A characterization of alternating groups by the set of orders of maximal abelian subgroups

G. Chen

Southwest China Normal University

Abstract: We prove that alternating groups with three prime graph components are uniquely determined by the set of orders of maximal abelian subgroups.

Keywords: abelian group, alternating group, prime graph component.

UDC: 512.542

Received: 19.09.2004

 English version: Siberian Mathematical Journal, 2006, 47:3, 594–596

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