p-POWER POINTS AND MODULES OF CONSTANT p-POWER JORDAN TYPE


ÖZTÜRK S.

COMMUNICATIONS IN ALGEBRA, vol.39, no.10, pp.3781-3800, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 10
  • Publication Date: 2011
  • Doi Number: 10.1080/00927872.2010.512585
  • Journal Name: COMMUNICATIONS IN ALGEBRA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3781-3800
  • Middle East Technical University Affiliated: Yes

Abstract

We study finitely generated modules over k[G] for a finite abelian p-group G, char (k) = p, through restrictions to certain subalgebras of k[G]. We define p-power points, shifted cyclic p-power order subgroups of k[G], and give characterizations of these. We define modules of constant p(t)-Jordan type, constant p(t)-power-Jordan type as generalizations of modules of constant Jordan type, and p(t)-support, nonmaximal p(t)-support spaces. We obtain a filtration of modules of constant Jordan type with modules of constant p-power Jordan type as the last term and give examples of non-isomorphic modules of constant p-power Jordan type having the same constant Jordan type.