 

Semra Öztürk Kaptanoğlu
Jordan type of a k[C_{p}× C_{p}]module view print


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


Abstract
Let E be the elementary abelian group C_{p}×C_{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[<1+x>]module for a ppoint x in J is
well defined modulo J^{p}.


Acknowledgements
The author thanks TÜBITAK for supporting her several times.


Author information
Department of Mathematics, Middle East Technical University, Ankara 06531, Turkey
sozkap@metu.edu.tr

