Restricted Modules and Conjectures for Modules of Constant Jordan Type |
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Authors: | Semra Öztürk Kaptano?lu |
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Institution: | 1. Department of Mathematics, Middle East Technical University, Ankara, 06531, Turkey
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Abstract: | We introduce the class of restricted kA]-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. |
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