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Groups with bounded representation degree
Authors:Antonio Behn
Affiliation:Department of Mathematics , University of Wisconsin , Madison, Wisconsin, 53706 E-mail: behn@math.wisc.edu
Abstract:Let Gbe a group and let K be a field of characteristic p> 0. If all irreducible representations of the group algebra K[G] have finite degree < n, then we show that G has a subgroup A with |G:A| bounded by a function of nand such that all the irreducible representations of K[A] have degree 1.
Keywords:
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