Two-sided configuration equivalence and isomorphism
Group Theory
2017-07-20 v3
Abstract
The concept of configuration was first introduced to give a characterization for the amenability of groups. Then the concept of two-sided configuration was suggested to provide normality to study the group structures more efficiently. It has been interesting that for which groups, two-sided configuration equivalence would imply isomorphism. We introduce a class of groups, containing polycyclic and FC groups, which for them, the notions of two-sided configuration equivalence and isomorphism coincide.
Cite
@article{arxiv.1512.03021,
title = {Two-sided configuration equivalence and isomorphism},
author = {Ali Rejali and Meisam Soleimani Malekan},
journal= {arXiv preprint arXiv:1512.03021},
year = {2017}
}
Comments
14 pages