Free subgroups in group rings
Group Theory
2014-11-27 v3 Rings and Algebras
Abstract
Let V(KG) be the normalized group of units of the group ring KG of a non-Dedekind group G with nontrivial torsion part t(G) over the integral domain K. We give a simple method for constructing free objects in V(KG).In particular, we show that V(KG) always contains the free product C_n*C_n of two finite cyclic groups. We construct examples of subgroups in V(KG), which are either cyclic extensions of a non-abelian free group or C_n*C_n.
Cite
@article{arxiv.1406.6771,
title = {Free subgroups in group rings},
author = {Victor Bovdi},
journal= {arXiv preprint arXiv:1406.6771},
year = {2014}
}
Comments
11 pages