Abstract
We introduce the class of restricted k[A]-modules and pt-Jordan types for a finite abelian p-group A of exponent at least pt 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 pt-Jordan types and show that many pt-Jordan types are realizable.
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