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Autor:
Wittmann, Christian 
Titel:
A functional equation for the zeta function of a finitely generated free Z_p[G]-modul 
Verlegende Stelle:
Universität der Bundeswehr München, Fakultät für Informatik 
Report-Nummer:
2002-05 
Jahr, Monat:
2002-07 
Abstract:
Let G be a finite group , p a prime number and n a positive integer. Following L. Solomon, one can define a zeta function of the free Z_p[G]-module of rank n (where Z_p is the ring of p-adic integers), counting submodules of finite index. We present a functional equation for this zeta function, extending the proof of C.J. Bushnell and I. Reiner for n=1, in order to cover our more general situation. In addition, some examples and explicit formulas are considered.