Geodesic
On some equations related to the $tpp$-groups
Diskretnaya Matematika, Tome 21 (2009) no. 4, pp. 82-84 
V. P. Platonov; S. P. Strunkov. On some equations related to the $tpp$-groups. Diskretnaya Matematika, Tome 21 (2009) no. 4, pp. 82-84. http://geodesic.mathdoc.fr/item/DM_2009_21_4_a6/
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     author = {V. P. Platonov and S. P. Strunkov},
     title = {On some equations related to the $tpp$-groups},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2009_21_4_a6/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We find formulas for the number of solutions of equations in finite groups and with the use of these results define naturally the $tpp$-groups, which play an important role in the theory of fast multiplication of matrices.

[1] Cohn H., Umans C., “A group-theoretic approach to fast matrix multiplication”, FOCS' 2003, 2003, 438–449

[2] Cohn H., Kleinberg R., Szegedy B., Umans C., “Group-theoretic algorithms for matrix multiplication”, FOCS' 2005, 2005, 379–388