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arXiv · 1101.5598

A Note on the Group-theoretic Approach to Fast Matrix Multiplication

Ivo Hedtke
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Abstract

In 2003 COHN and UMANS introduced a group-theoretic approach to fast matrix multiplication. This involves finding large subsets S, T and U of a group G satisfying the Triple Product Property (TPP) as a means to bound the exponent $\omega$ of the matrix multiplication. We show that S, T and U may be be assumed to contain the identity and be otherwise disjoint. We also give a much shorter proof of the upper bound |S|+|T|+|U| <= |G|+2.

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Ivo Hedtke. 2011-01-28. A Note on the Group-theoretic Approach to Fast Matrix Multiplication. https://arxiv.org/abs/1101.5598

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