Journal article
Linear Approximate Groups
- Abstract:
- This is an informal announcement of results to be described and proved in detail in a paper to appear. We give various results on the structure of approximate subgroups in linear groups such as $\SL_n(k)$. For example, generalising a result of Helfgott (who handled the cases $n = 2$ and 3), we show that any approximate subgroup of $\SL_n(\F_q)$ which generates the group must be either very small or else nearly all of $\SL_n(\F_q)$. The argument is valid for all Chevalley groups $G(\F_q)$.
Actions
Authors
- Publication date:
- 2010-01-26
- Keywords:
- Pubs id:
-
pubs:398474
- UUID:
-
uuid:4c631ee3-d7d5-43fb-a145-9c0dc2a330fb
- Local pid:
-
pubs:398474
- Source identifiers:
-
398474
- Deposit date:
-
2013-11-16
- ARK identifier:
Terms of use
- Copyright date:
- 2010
- Notes:
- 11 pages. Submitted, Electronic Research Announcements. Small changes
If you are the owner of this record, you can report an update to it here: Report update to this record