Powerfully solvable and powerfully simple groups
Group Theory
2020-06-24 v1
Abstract
We introduce the notion of a powerfully solvable group. These are powerful groups possessing an abelian series of a special kind. These groups include in particular the class of powerfully nilpotent groups. We will also see that for a certain rich class of powerful groups we can naturally introduce the term powerfully simple group and prove a Jordan-H\"older type theorem that justifies the term.
Cite
@article{arxiv.2006.12593,
title = {Powerfully solvable and powerfully simple groups},
author = {Iker de las Heras and Gunnar Traustason},
journal= {arXiv preprint arXiv:2006.12593},
year = {2020}
}
Comments
19 pages