“p-power points and modules of strongly constant Jordan type”
SEMRA OZTURK KAPTANOGLU
ABSTRACT: Let G be a finite abelian p-group, and x be an element of the Jacobson radical of the group algebra k[G] for k a field of characteristic p. We call an element x a p-power point if k[G] is free when considered as a module over k[<1+x>]. Using p-power points, we define k[G]-modules of strongly constant Jordan type as a generalization of modules of constant Jordan type and using p-power points we can distinguish modules of constant Jordan type which have the same Jordan type.
Date : March 25, 2008 (Tuesday)
Time : 15:40
Place: Mathematics Seminar Room SA141