Geodesic
Hall's polynomials of finite two-generator groups of exponent seven
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 2, pp. 186-190.

Voir la notice de l'article provenant de la source Math-Net.Ru

Let $B_k=B_0(2,7,k)$ be the largest two-generator finite group of exponent 7 and nilpotency class $k$. Hall's polynomials of $B_k$ for $k\leqslant4$ are calculated.
Keywords: periodic group, collection process, Hall's polynomials. 
@article{JSFU_2014_7_2_a4,
     author = {Alexander A. Kuznetsov and Konstantin V. Safonov},
     title = {Hall's polynomials of finite two-generator groups of exponent seven},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {186--190},
     publisher = {mathdoc},
     volume = {7},
     number = {2},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2014_7_2_a4/}
}
TY  - JOUR
AU  - Alexander A. Kuznetsov
AU  - Konstantin V. Safonov
TI  - Hall's polynomials of finite two-generator groups of exponent seven
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2014
SP  - 186
EP  - 190
VL  - 7
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2014_7_2_a4/
LA  - en
ID  - JSFU_2014_7_2_a4
ER  - 
%0 Journal Article
%A Alexander A. Kuznetsov
%A Konstantin V. Safonov
%T Hall's polynomials of finite two-generator groups of exponent seven
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2014
%P 186-190
%V 7
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2014_7_2_a4/
%G en
%F JSFU_2014_7_2_a4
Alexander A. Kuznetsov; Konstantin V. Safonov. Hall's polynomials of finite two-generator groups of exponent seven. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 2, pp. 186-190. http://geodesic.mathdoc.fr/item/JSFU_2014_7_2_a4/

[1] E. O'Brien, M. Vaughan Lee, “The 2-Generator Restricted Burnside Group of Exponent 7”, Int. J. Algebra Comput., 12 (2002), 459–470 | MR

[2] C. Sims, Computation with finitely presented groups, Cambridge University Press, Cambridge, 1994 | MR

[3] D. Holt, B. Eick, E. O'Brien, Handbook of computational group theory, Chapman $\$ Hall/CRC Press, Boca Raton, 2005 | MR | Zbl

[4] Ph. Hall, “Nilpotent groups”, Notes of lectures given at the Canadian Mathematical Congress 1957 Summer Seminar, Collected works of Philip Hall, Clarendon Press, Oxford, 1988, 415–462 | MR

[5] A. A. Kuznetsov, A. S. Kuznetsova, “Computer modeling of finite two-generator groups of exponent five”, Vestnik SibGAU, 45:5 (2012), 59–62 (in Russian)

[6] A. A. Kuznetsov, A. S. Kuznetsova, “Relation betweengrowth functions in symmetric groups and tasks of combinatorial optimization”, Vestnik SibGAU, 46:6 (2012), 57–62 (in Russian)

[7] A. A. Kuznetsov, A. S. Kuznetsova, “Fast multiplication in finite two-generated groups of exponent five”, Prikl. Diskr. Mat., 2013, no. 1(19), 110–116 (in Russian)