Year: 2014
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Bovdi, Victor
Institution: United Arab Emirates University
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G3572101131
OpenAlex ID: W1543544435