More Counterexamples to the Unit Conjecture for Group Rings

2021/06/03 by Alan G. Murray, Murray, Alan G.
Mathematics · #16U60 (Secondary) #20C07 (Primary) 16S34 #Advanced Topics in Algebra #Commutative Algebra (math.AC) #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Rings and Algebras (math.RA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2106.02147

openalex publication_date 2021/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Extending the discovery by Giles Gardam of a concrete counterexample to Kaplansky's unit conjecture in characteristic 2, a family of counterexamples for every prime characteristic is presented.

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