The powerful class of groups
Group Theory
2023-10-04 v1
Abstract
Pro- groups of finite powerful class are studied. We prove that these are -adic analytic, and further describe their structure when their powerful class is small. It is also shown that there are only finitely many finite -groups of fixed coclass and powerful class.
Keywords
Cite
@article{arxiv.2310.02073,
title = {The powerful class of groups},
author = {Primoz Moravec},
journal= {arXiv preprint arXiv:2310.02073},
year = {2023}
}