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


ÖZTÜRK S.

COMMUNICATIONS IN ALGEBRA, cilt.39, ss.3781-3800, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 39 Konu: 10
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1080/00927872.2010.512585
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Sayfa Sayıları: ss.3781-3800

Özet

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.