Groups with bounded representation degree |
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Authors: | Antonio Behn |
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Affiliation: | Department of Mathematics , University of Wisconsin , Madison, Wisconsin, 53706 E-mail: behn@math.wisc.edu |
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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. |
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