A characterization of PSL(2,q), q = 5,7

2016/02/19 by Marius Tarnauceanu, Tarnauceanu, Marius
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #math.GR

paper · pdf · doi:10.48550/arxiv.1602.06018

arxiv created 2016/02/19 · arxiv updated 2016/02/22

Abstract

In this short note we prove that the finite non-abelian simple groups PSL(2,q), where q = 5,7, are determined by their posets of classes of isomorphic subgroups. In particular, this disproves the conjecture in the end of [5].

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