Abstract
Let k be an algebraically closed field of characteristic p and G be a finite
group of p-rank at least two. We prove that there cannot exist a finite dimensional
kG-module of stable constant Jordan type [a] with 2 = a = p - 2. This is a generalisation of a conjecture of Carlson, Friedlander and Pevtsova.
group of p-rank at least two. We prove that there cannot exist a finite dimensional
kG-module of stable constant Jordan type [a] with 2 = a = p - 2. This is a generalisation of a conjecture of Carlson, Friedlander and Pevtsova.
Original language | English |
---|---|
Pages (from-to) | 315-318 |
Number of pages | 4 |
Journal | Algebras and Representation Theory |
Volume | 13 |
Issue number | 3 |
DOIs | |
Publication status | Published - Jun 2010 |
Keywords
- modules of constant Jordan type
- finite dimensional kG-module
- elementary abelian p-groups
- shifted subgroups