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arXiv 2015-02-17 0 views

The posets of classes of isomorphic subgroups of finite groups

Tarnauceanu, Marius

Original · EN

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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