A framework for Thompson groups
Event details
| Date | 24.11.2016 |
| Hour | 13:00 › 14:00 |
| Speaker | Stefan Witzel |
| Location |
MA 31
|
| Category | Conferences - Seminars |
Richard Thompson introduced three groups, denoted F, T, V, which are interesting for various reasons. For example, T an V were the first known examples of finitely presented infinite simple groups. Better than being finitely presented they are in fact of type F_\infty.
In subsequent years, various groups have been constructed with similar features. They are now jointly referred to as ``Thompson groups''. Many Thompson groups have been shown to be F_\infty as well and the strategy is always similar.
I will present a description of Thompson groups are fundamental groups of Ore categories. Using this framework I will describe how F_\infty-proofs can be treated uniformly up to the point were some insight is needed.
In subsequent years, various groups have been constructed with similar features. They are now jointly referred to as ``Thompson groups''. Many Thompson groups have been shown to be F_\infty as well and the strategy is always similar.
I will present a description of Thompson groups are fundamental groups of Ore categories. Using this framework I will describe how F_\infty-proofs can be treated uniformly up to the point were some insight is needed.
Practical information
- Informed public
- Free