The posets of classes of isomorphic subgroups of finite groups (1502.04784v1)

Published 17 Feb 2015 in math.GR

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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Authors (1)

Marius Tarnauceanu

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