p-Power Points and Modules of Constant p-power-Jordan Type part II
SEMRA ÖZTÜRK KAPTANOĞLU
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 18, 2009 (Wednesday)
Time : 13:40-14:30
Place: Room SAZ01