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

Date

2011-01-01

Author

Öztürk, Semra

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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.

Subject Keywords

Wild representation type, Shifted cyclic subgroup, Restriction, P-power point, P-point, Modular representation, Constant p-power Jordan type, Constant Jordan type

URI

https://hdl.handle.net/11511/42794

Journal

COMMUNICATIONS IN ALGEBRA

DOI

https://doi.org/10.1080/00927872.2010.512585

Collections

Department of Mathematics, Article

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Citation Formats

S. Öztürk, “p-POWER POINTS AND MODULES OF CONSTANT p-POWER JORDAN TYPE,” COMMUNICATIONS IN ALGEBRA, pp. 3781–3800, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/42794.