Abstract
We prove a special case of a conjecture of Rickard on modules of constant Jordan type over an elementary abelian p-group of rank at least 2. Namely, we show that if there are no Jordan blocks of length one, then the total number of Jordan blocks is divisible by p. We combine this with other techniques to rule out a large number of Jordan types.
| Original language | English |
|---|---|
| Pages (from-to) | 343-349 |
| Number of pages | 7 |
| Journal | Journal of Algebra |
| Volume | 398 |
| Early online date | 22 Oct 2012 |
| DOIs | |
| Publication status | Published - 15 Jan 2014 |
Keywords
- modular representation theory
- constant Jordan type