Groups and noncommutative algebra: interactions and applications
| Full text | |
| Author(s): |
Goncalves, Jairo Z.
Total Authors: 1
|
| Document type: | Journal article |
| Source: | Journal of Group Theory; v. 18, n. 5, p. 829-843, SEP 2015. |
| Web of Science Citations: | 2 |
| Abstract | |
Let D be a division ring with center k and multiplicative group D-dagger, and let N be a normal subgroup of D-dagger. Assuming that N contains a subgroup G which is nonabelian torsion-free polycyclic-by-finite (not abelian-by-finite), we construct a free noncyclic subgroup of N in terms of elements of G. We also show that if char k not equal 2, D is generated over k by the torsion-free polycyclic-by finite group G (not abelian-by-finite), and if it is possible to extend the involution x({*}) = x(-1) of G to a k involution of D, then D Z contains a free symmetric pair. (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 |