A quantitative version of the non-abelian idempotent theorem
classification
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idempotentnon-abelianquantitativetheoremversionalgebracosetsfinite
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Suppose that G is a finite group and A is a subset of G such that 1_A has algebra norm at most M. Then 1_A is a plus/minus sum of at most L cosets of subgroups of G, and L can be taken to be triply tower in O(M). This is a quantitative version of the non-abelian idempotent theorem.
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