The Modular Isomorphism Problem: a survey
Rings and Algebras
2022-04-11 v2 Group Theory
Abstract
The Modular Isomorphism Problem asks if an isomorphism of group algebras of two finite p-groups G and H over a field of characteristic p, implies an isomorhism of the groups G and H. We survey the history of the problem, explain strategies which were developed to study it and present the recent negative solution of the problem. The problem is also compared to other isomorphism problems for group rings and various question remaining open are included.
Cite
@article{arxiv.2202.11412,
title = {The Modular Isomorphism Problem: a survey},
author = {Leo Margolis},
journal= {arXiv preprint arXiv:2202.11412},
year = {2022}
}
Comments
32 pages. Minor changes and corrections. More general formulation at beginning of Section 7