The Unit Group of Small Group Algebras and the Minimum Counterexample to the Isomorphism Problem

Simple item page
dc.creatorCreedon, Leo
dc.date2009-05-26
dc.date.accessioned2026-07-07T13:18:28Z
dc.date.available2026-07-07T13:18:28Z
dc.descriptionLet $KG$ denote the group algebra of the group $G$ over the field $K$ and let $U(KG)$ denote its group of units. Here without the use of a computer we give presentations for the unit groups of all group algebras $KG$, where the size of $KG$ is less than 1024. As a consequence we find the minimum counterexample to the Isomorphism Problem for group algebras.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/0905.4295
dc.identifierhttp://arxiv.org/abs/0905.4295
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/231440
dc.subjectRings and Algebras
dc.subjectGroup Theory
dc.subject16S34; 16U60; 20C05
dc.titleThe Unit Group of Small Group Algebras and the Minimum Counterexample to the Isomorphism Problem
dc.typetext

Files

Collections

arXiv