Abstract
A group G is periodic of bounded exponent if there exists k ∈ N such that every element of G has order at most k. We show that every finitely generated periodic group of bounded exponent G < DiffwS2/ is finite, where DiffwS2/ denotes the group of diffeomorphisms of S2 that preserve an area form !.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 3261-3290 |
| Number of pages | 30 |
| Journal | Duke Mathematical Journal |
| Volume | 169 |
| Issue number | 17 |
| DOIs | |
| State | Published - 2020 |
All Science Journal Classification (ASJC) codes
- General Mathematics