“p-Power Points and
Modules of Constant p-power-Jordan Type”

SEMRA ÖZTÜRK KAPTANOÐLU

(METU)

__Abstract__: Let k[G] be the group algebra
of a finite abelian p-group G over an algebraically closed field of
characteristic p. We define p-power points and shifted cyclic subgroups of k[G]
and give a characterization of these. Using p-power points we define modules of
constant p-power Jordan type as a generalization of modules of constant Jordan
type. Endotrivial k[G]-modules are examples of constant p-power Jordan type
modules. We give examples of non-isomorphic modules of constant p-power Jordan
type having the same constant Jordan type.

Date : March 11, 2009 (Wednesday)

Time : 13:40-14:30

Place: Room SAZ01