A commutative version of the group ring
Group Theory
2023-12-22 v5
Abstract
We construct a commutative version of the group ring and show that it allows one to translate questions about the normal generation of groups into questions about the generation of ideals in commutative rings. We demonstrate this with an alternative proof of a result about the normal generation of the free product of two cyclic groups.
Cite
@article{arxiv.1103.1577,
title = {A commutative version of the group ring},
author = {Wajid Mannan},
journal= {arXiv preprint arXiv:1103.1577},
year = {2023}
}
Comments
31 pages, preprint. Reason for revision: additions to content; in particular rewritten Section 5 and new Section 6 added