Groups and noncommutative algebra: interactions and applications
Valuation theory of group rings and homology of soluble groups
| Full text | |
| Author(s): |
Goncalves, Jairo Z.
Total Authors: 1
|
| Document type: | Journal article |
| Source: | COMMUNICATIONS IN ALGEBRA; v. 45, n. 12, p. 5193-5201, 2017. |
| Web of Science Citations: | 1 |
| Abstract | |
Let k(t) be the field of rational functions over the field k, let sigma be a k-automorphism of K=k(t), let D=K(X;sigma) be the ring of fractions of the skew polynomial ring K{[}X;sigma], and let D-. be the multiplicative group of D. We show that if N is a noncentral normal subgroup of D-., then N contains a free subgroup. We also prove that when k is algebraically closed and sigma has infinite order, there exists a specialization from D to a quaternion algebra. This allows us to explicitly present free subgroups in D-.. (AU) | |
| FAPESP's process: | 15/09162-9 - Non commutative algebra and applications |
| Grantee: | Francisco Cesar Polcino Milies |
| Support Opportunities: | Research Projects - Thematic Grants |