| 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: | Proceedings of the American Mathematical Society; v. 143, n. 2, p. 459-468, FEB 2015. |
| Web of Science Citations: | 6 |
| Abstract | |
Let D be a division ring of characteristic not equal 2 and suppose that the multiplicative group D-center dot = D\textbackslash{}[0] has a subgroup G isomorphic to the Heisenberg group. Then we use the generators of G to construct an explicit noncyclic free subgroup of D-center dot. The main difficulty occurs here when D has characteristic 0 and the commutators in G are algebraic over Q. (AU) | |
| FAPESP's process: | 09/52665-0 - Grupos, aneis e algebras: interacoes e aplicacoes |
| Grantee: | Francisco Cesar Polcino Milies |
| Support Opportunities: | Research Projects - Thematic Grants |