On Recognizability of PSU3(q) by the Orders of Maximal Abelian Subgroups
- 作者: Momen Z.1, Khosravi B.1
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隶属关系:
- Department of Pure Mathematics, Faculty of Mathematics and Computer Science
- 期: 卷 60, 编号 1 (2019)
- 页面: 124-139
- 栏目: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172237
- DOI: https://doi.org/10.1134/S0037446619010142
- ID: 172237
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详细
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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