2013/11/23 by Zahra Momen, Momen, Zahra, Behrooz Khosravi +1
Computer Science · Mathematics · Social Sciences · #20D05 #20D60 #FOS: Mathematics #Finite Group Theory Research #Global Educational Reforms and Inequalities #Graph Labeling and Dimension Problems #Group Theory (math.GR) #math.GR #msc:20D05 #msc:20D60
paper · pdf · doi:10.48550/arxiv.1311.6056
16 pages
arxiv created 2013/11/23 · openalex publication_date 2013/11/23 · arxiv updated 2013/11/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In [Li and Chen, A new characterization of the simple group A1(pn), Sib. Math. J., 2012], it is proved that the simple group A1(pn) is uniquely determined by the set of orders of its maximal abelian subgroups. Also in [Momen and Khosravi, Groups with the same orders of maximal abelian subgroups as A2(q), Monatsh. Math., 2013], 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 orders of maximal abelian subgroups as L, is isomorphic to L or an extension of L by a field automorphism of L.