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arXiv · 1502.04784

The posets of classes of isomorphic subgroups of finite groups

Marius Tarnauceanu
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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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Marius Tarnauceanu. 2015-02-17. The posets of classes of isomorphic subgroups of finite groups. https://arxiv.org/abs/1502.04784

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