The fixed-point-space dimension function for a finite group representation
Abstract: Given a complex representation of a finite group , construct the integer valued function on by setting to be the dimension of the fixed-point-space of in the module corresponding to the given representation. Usually, is not a generalized character of and for trivial reasons is always a generalized character. The main result of this paper is that is always a generalized character, where is the exponent of .
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