Enumeration of groups in some special varieties of $A$-groups
Group Theory
2024-09-16 v1
Abstract
We find an upper bound for the number of groups of order up to isomorphism in the variety , where , and are distinct primes. We also find a bound on the orders and on the number of conjugacy classes of subgroups that are maximal amongst the subgroups of the general linear group that are also in the variety .
Cite
@article{arxiv.2409.08586,
title = {Enumeration of groups in some special varieties of $A$-groups},
author = {Arushi and Geetha Venkataraman},
journal= {arXiv preprint arXiv:2409.08586},
year = {2024}
}