English

Traces of Torsion Units

Group Theory 2012-10-09 v1

Abstract

A conjecture due to Zassenhaus asserts that if  G\ G is a finite group then any torsion unit in ZG\mathbb{Z}G is conjugate in QG\mathbb{Q}G to an element of  G\ G. We present a weaker form of this conjecture for some infinite groups.

Keywords

Cite

@article{arxiv.1210.1879,
  title  = {Traces of Torsion Units},
  author = {S. O. Juriaans and A. De A. E Silva and A. C. Souza Filho},
  journal= {arXiv preprint arXiv:1210.1879},
  year   = {2012}
}

Comments

Key words and frases: Group Rings, torsion units, unique trace property, 7 pages