Groups and noncommutative algebra: interactions and applications
Full text | |
Author(s): |
Total Authors: 2
|
Affiliation: | [1] Univ Sao Paulo, Dept Math, BR-05508090 Sao Paulo - Brazil
[2] Univ Wisconsin, Dept Math, Madison, WI 53706 - USA
Total Affiliations: 2
|
Document type: | Journal article |
Source: | Journal of Algebra; v. 440, p. 128-144, OCT 15 2015. |
Web of Science Citations: | 6 |
Abstract | |
Let D be a division ring with center Z and multiplicative group D \textbackslash{} [0] = D-center dot, and let N be a normal subgroup of D-center dot. We investigate various conditions under which N must contain a free noncyclic subgroup. In one instance, assuming that the transcendence degree of Z over its prime field is infinite, and that N contains a nonabelian solvable subgroup, we use a construction method due to Chiba to exhibit free generators of the free subgroup. (C) 2015 Elsevier Inc. All rights reserved. (AU) | |
FAPESP's process: | 09/52665-0 - Groups, rings and algebras: interactions and applications |
Grantee: | Francisco Cesar Polcino Milies |
Support Opportunities: | Research Projects - Thematic Grants |