Jordan type of a k[C(p)xC(p)]-module

Date

2011-01-01

Author

Öztürk, Semra

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Let E be the elementary abelian group C(p)xC(p), k a field of characteristic p, M a finite dimensional module over the group algebra k[E] and J the Jacobson radical J of k[E]. We prove that the decomposition of M when considered as a k[]-module for a p-point x in J is well defined modulo J(p).

Subject Keywords

Jordan canonical form, Jordan type, Commuting nilpotent matrices, P-points, Shifted cyclic subgroup

URI

https://hdl.handle.net/11511/52850

Journal

NEW YORK JOURNAL OF MATHEMATICS

Collections

Department of Mathematics, Article

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Citation Formats

S. Öztürk, “Jordan type of a k[C(p)xC(p)]-module,” NEW YORK JOURNAL OF MATHEMATICS, pp. 307–313, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/52850.