Groups and noncommutative algebra: interactions and applications
Free symmetric and unitary pairs in division rings with involution.
Connections between Algebra and Geometry: an introduction to Clifford algebras
| Full text | |
| Author(s): |
Goncalves, Jairo Z.
Total Authors: 1
|
| Document type: | Journal article |
| Source: | JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 16, n. 6 JUN 2017. |
| Web of Science Citations: | 1 |
| Abstract | |
Let D be the field of fractions of the group algebra k Gamma of the Heisenberg group Gamma, over the field k of characteristic not equal 2. We show that for some involutions of D that are not induced from involutions of Gamma, D contains free symmetric and unitary pairs. We also give a general condition for a normal unitary subgroup of a division ring to contain a free group, and prove a generalization of Lewin's Conjecture. (AU) | |
| FAPESP's process: | 15/09162-9 - Non commutative algebra and applications |
| Grantee: | Francisco Cesar Polcino Milies |
| Support Opportunities: | Research Projects - Thematic Grants |