A characterization of Nested Groups in terms of conjugacy classes
Group Theory
2019-10-10 v2
Abstract
A group is nested if the centers of the irreducible characters form a chain. In this paper, we will show that there is a set of subgroups associated with the conjugacy classes of group so that a group is nested if and only if these subgroups form a chain.
Cite
@article{arxiv.1909.05849,
title = {A characterization of Nested Groups in terms of conjugacy classes},
author = {Shawn T. Burkett and Mark L. Lewis},
journal= {arXiv preprint arXiv:1909.05849},
year = {2019}
}
Comments
4 pages