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Semra Öztürk Kaptanoğlu
Jordan type of a k[Cp× Cp]-module view print
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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 |
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Abstract
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.
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| Acknowledgements
The author thanks TÜBITAK for supporting her several times.
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| Author information
Department of Mathematics, Middle East Technical University, Ankara 06531, Turkey
sozkap@metu.edu.tr
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