The posets of classes of isomorphic subgroups of finite groups

2015/02/17 by Marius Tarnauceanu, Tarnauceanu, Marius · 1 citation
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #math.GR

paper · pdf · doi:10.48550/arxiv.1502.04784

accepted for publication in Bull. Malays. Math. Sci. Soc

arxiv created 2015/02/17 · arxiv updated 2015/02/18

Abstract

In this paper we introduce and study the poset of equivalence classes of subgroups of a finite group G, induced by the isomorphism relation. This contains the well-known lattice of solitary subgroups of G. We prove that in several particular cases it determines the structure of G.

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• On Posets of Classes of Automorphic Subgroups of Finite Groups

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