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

2011-01-01
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.
COMMUNICATIONS IN ALGEBRA

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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.