The Fitting Submodule

Arch. Math. (Basel) 87 (2006), no. 3, 193--205.

Ulrich Meierfrankenfeld      Bernd Stellmacher 


Let H be a finite group and V a finite dimensional H-module. In this paper we use the concept of the generalized Fitting subgroup of a finite group as model for our defintion of the Fitting module FV(H). Among other things we prove:

Suppose V is faithful and reduced. Then FV(H)/RV(H) is faithful and semisimple.

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Last Revised 8/25/05