On Recognizability of PSU3(q) by the Orders of Maximal Abelian Subgroups


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Li and Chen in 2012 proved that the simple group A1(pn) is uniquely determined by the set of orders of its maximal abelian subgroups. Later the authors proved that if L = A2(q), where q is not a Mersenne prime, then every finite group with the same orders of maximal abelian subgroups as L is isomorphic to L or an extension of L by a subgroup of the outer automorphism group of L. In this paper, we prove that if L = PSU3(q), where q is not a Fermat prime, then every finite group with the same set of orders of maximal abelian subgroups as L is an almost simple group with socle PSU3(q).

作者简介

Z. Momen

Department of Pure Mathematics, Faculty of Mathematics and Computer Science

编辑信件的主要联系方式.
Email: zahramomen@yahoo.com
伊朗伊斯兰共和国, Tehran

B. Khosravi

Department of Pure Mathematics, Faculty of Mathematics and Computer Science

编辑信件的主要联系方式.
Email: khosravibbb@yahoo.com
伊朗伊斯兰共和国, Tehran

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