Restricted Modules and Conjectures on Modules of Constant Jordan Type

Date

2014-01-01

Author

Öztürk, Semra

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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.

Subject Keywords

Suslin’s conjecture, Rickard’s conjecture, Constraints on Jordan type, Realization of Jordan types, Generalized p-points, Modules of constant Jordan typ

URI

https://link.springer.com/article/10.1007/s10468-013-9455-6

Journal

Algebras And Representation Theory

DOI

https://doi.org/10.1007/s10468-013-9455-6

Collections

Department of Mathematics, Article

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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: https://link.springer.com/article/10.1007/s10468-013-9455-6.