New York Journal of Mathematics
Volume 17a (2011) 307-313


Semra Öztürk Kaptanoğlu

Jordan type of a k[Cp× Cp]-module

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Published: February 16, 2011
Keywords: Jordan canonical form, Jordan type, commuting nilpotent matrices, p-points, shifted cyclic subgroup.
Subject: Primary 15A04; Secondary 15A21, 15A33

Let E be the elementary abelian group Cp×Cp, 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[<1+x>]-module for a p-point x in J is well defined modulo Jp.


The author thanks TÜBITAK for supporting her several times.

Author information

Department of Mathematics, Middle East Technical University, Ankara 06531, Turkey