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Lower bounds on the maximum dimension of a simple module in characteristic p (2008.03490v1)
Published 8 Aug 2020 in math.GR and math.RT
Abstract: We obtain lower bounds for the maximum dimension of a simple FG-module, where G is a finite group and F is an algebraically closed field of characteristic p. The bounds are described in terms of properties of p-subgroups of G. When p is 2 or p is a Mersenne prime, the bounds take a different form, due to exceptions which arise for such primes.
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