Geodesic
On some equations related to the $tpp$-groups
Diskretnaya Matematika, Tome 21 (2009) no. 4, pp. 82-84.

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. 
@article{DM_2009_21_4_a6,
     author = {V. P. Platonov and S. P. Strunkov},
     title = {On some equations related to the $tpp$-groups},
     journal = {Diskretnaya Matematika},
     pages = {82--84},
     publisher = {mathdoc},
     volume = {21},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2009_21_4_a6/}
}
TY  - JOUR
AU  - V. P. Platonov
AU  - S. P. Strunkov
TI  - On some equations related to the $tpp$-groups
JO  - Diskretnaya Matematika
PY  - 2009
SP  - 82
EP  - 84
VL  - 21
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DM_2009_21_4_a6/
LA  - ru
ID  - DM_2009_21_4_a6
ER  - 
%0 Journal Article
%A V. P. Platonov
%A S. P. Strunkov
%T On some equations related to the $tpp$-groups
%J Diskretnaya Matematika
%D 2009
%P 82-84
%V 21
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DM_2009_21_4_a6/
%G ru
%F DM_2009_21_4_a6
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/

[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