English

More Counterexamples to the Unit Conjecture for Group Rings

Rings and Algebras 2021-06-07 v1 Commutative Algebra Group Theory

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.

Cite

@article{arxiv.2106.02147,
  title  = {More Counterexamples to the Unit Conjecture for Group Rings},
  author = {Alan G. Murray},
  journal= {arXiv preprint arXiv:2106.02147},
  year   = {2021}
}

Comments

4 pages

R2 v1 2026-06-24T02:48:58.735Z