## The Arcata Conference on Representations of Finite Groups, Part 2 |

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abelian action acts algebra appear associated assume basis blocks called central character classical commutative complex conjugacy classes conjugate connected consider contains contradiction COROLLARY corresponding cyclic defined definition denote derived determined diagram dimension element embedding equal equivalent example exists extension F-stable fact factors field finite group fixed formula functions give given Hence homomorphism implies induced injective integer involution irreducible irreducible characters irreducible representations isomorphic Lemma Let G linear Math Mathematics matrix maximal modules monomial multiplicity natural normal Note obtain particular points polynomials positive prime proof PROPOSITION prove relations REMARK representation resp respect restriction result ring root satisfies simple simple groups space Step subgroup subgroup of G Suppose symmetric Table theorem theory unique weight write