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A note on the Triple Product Property subgroup capacity of finite groups

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arxiv 1107.5969 v1 pith:QJTQ6YHE submitted 2011-07-29 math.GR

classification math.GR
keywords capacityboundfinitematrixmultiplicationsubgroupcontextexponent
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abstract

In the context of group-theoretic fast matrix multiplication the TPP capacity is used to bound the exponent $\omega$ of matrix multiplication. We prove a new and sharper upper bound for the TPP subgroup capacity of a finite group

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