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Principal blocks with 5 irreducible characters

Published 29 Oct 2020 in math.GR and math.RT | (2010.15422v2)

Abstract: We show that if the principal p-block of a finite group G contains exactly 5 irreducible ordinary characters, then a Sylow p-subgroup of G has order 5, 7 or is isomorphic to one of the non-abelian 2-groups of order 8.

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