Matrix multiplication via matrix groups

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Henry Cohn and Christopher Umans, A group-theoretic approach to fast matrix multiplication , Proceedings of the 44th Annual Symposium on Foundations of Computer Science (FOCS 2003), IEEE Computer Society, 2003, pp. 438–449. doi: 10.1109/SFCS.2003.1238217

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Henry Cohn, Robert Kleinberg, Balázs Szegedy, and Christopher Umans, Group-theoretic algorithms for matrix multiplication , Proceedings of the 46th Annual Symposium on Foundations of Computer Science (FOCS 2005), IEEE Computer Society, 2005, pp. 379–388. doi: 10.1109/SFCS.2005.39

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Jason Fulman and Robert Guralnick, Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements , Trans. Amer. Math. Soc. 364

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2014

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Jonah Blasiak, Thomas Church, Henry Cohn, Joshua A. Grochow, and Chris Umans, Which groups are amenable to proving exponent two for matrix multiplication? , preprint (2017), arXiv: 1712.02302

Original

2017

Later among the works it cites.

Josh Alman and Virginia Vassilevska Williams, Limits on all known (and some unknown) approaches to matrix multiplication , Proceedings of the 59th Annual IEEE Symposium on Foundations of Computer Science (FOCS 2018), IEEE, 2018, pp. 580–591. doi: 10.1109/FOCS.2018.00061

2018

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Will Sawin, Bounds for matchings in nonabelian groups , Electron. J. Combin. 25

2018

Later among the works it cites.

Josh Alman, Limits on the universal method for matrix multiplication , Theory Comput. 17

2021

Later among the works it cites.