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p-POWER POINTS AND MODULES OF CONSTANT p-POWER JORDAN TYPE
Date
2011-01-01
Author
Öztürk, Semra
Metadata
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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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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.