The posets of classes of isomorphic subgroups of finite groups
Group Theory
2015-02-18 v1
Abstract
In this paper we introduce and study the poset of equivalence classes of subgroups of a finite group , induced by the isomorphism relation. This contains the well-known lattice of solitary subgroups of . We prove that in several particular cases it determines the structure of .
Keywords
Cite
@article{arxiv.1502.04784,
title = {The posets of classes of isomorphic subgroups of finite groups},
author = {Marius Tarnauceanu},
journal= {arXiv preprint arXiv:1502.04784},
year = {2015}
}
Comments
accepted for publication in Bull. Malays. Math. Sci. Soc