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math.GR2024
Finite matrix multiplication algorithms from infinite groups
Jonah Blasiak, Henry Cohn, Joshua A. Grochow +2
The Cohn-Umans (FOCS '03) group-theoretic framework for matrix multiplication produces fast matrix multiplication algorithms from three subsets of a finite group satisfying a s…
math.GR2022★ 2 cited
Matrix multiplication via matrix groups
Jonah Blasiak, Henry Cohn, Joshua A. Grochow +2
In 2003, Cohn and Umans proposed a group-theoretic approach to bounding the exponent of matrix multiplication. Previous work within this approach ruled out certain families of grou…