Restricted Modules and Conjectures on Modules of Constant Jordan Type

We introduce the class of restricted k[A]-modules and p t-Jordan types for a finite abelian p-group A of exponent at least p t and a field k of characteristic p. For these modules, we generalize several theorems by Benson, verify a generalization of conjectures stated by Suslin and Rickard giving constraints on Jordan types for modules of constant Jordan type when t is 1. We state conjectures giving constraints on p t-Jordan types and show that many p t-Jordan types are realizable.
Algebras And Representation Theory


Öztürk, Semra (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 ...
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Citation Formats
S. Öztürk, “Restricted Modules and Conjectures on Modules of Constant Jordan Type,” Algebras And Representation Theory, pp. 1437–1455, 2014, Accessed: 00, 2021. [Online]. Available: