Solubility of groups can be characterized by configuration
Group Theory
2017-05-30 v4
Abstract
The concept of configuration was first introduced by Rosenblatt and Willis to give a characterization for the amenability of groups. We show that group properties of being soluble or FC can be characterized by configuration sets. Then we investigate some condition on configuration pairs, which leads to isomorphism. We introduce a somewhat different notion of configuration equivalence, namely strong configuration equivalence, and prove that strong configuration equivalence coincides with isomorphism.
Keywords
Cite
@article{arxiv.1510.07209,
title = {Solubility of groups can be characterized by configuration},
author = {Ali Rejali and Meisam Soleimani Malekan},
journal= {arXiv preprint arXiv:1510.07209},
year = {2017}
}
Comments
19 pages