Chermak-Delgado Simple Groups
Group Theory
2022-07-06 v1
Abstract
This paper provides the first steps in classifying the finite solvable groups having Property A, which is a property involving abelian normal subgroups. We see that this classification is reduced to classifying the solvable Chermak-Delgado simple groups, which the author defines. The author completes a classification of Chermak-Delgado simple groups under certain restrictions on the primes involved in the group order.
Cite
@article{arxiv.1510.04106,
title = {Chermak-Delgado Simple Groups},
author = {Ryan McCulloch},
journal= {arXiv preprint arXiv:1510.04106},
year = {2022}
}