Comparative analysis of the Burnside groups $B(2,5)$ and $B_0(2,5)$
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 2, pp. 125-132
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

An algorithm for computing elements and relations in Burnside groups is described. After that, a comparative analysis of the groups $B(2,5)$ and $B_0(2,5)$ is carried out.
Keywords: Burnside problem.
@article{TIMM_2009_15_2_a11,
     author = {A. A. Kuznetsov and A. K. Shlepkin},
     title = {Comparative analysis of the {Burnside} groups $B(2,5)$ and $B_0(2,5)$},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {125--132},
     year = {2009},
     volume = {15},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2009_15_2_a11/}
}
TY  - JOUR
AU  - A. A. Kuznetsov
AU  - A. K. Shlepkin
TI  - Comparative analysis of the Burnside groups $B(2,5)$ and $B_0(2,5)$
JO  - Trudy Instituta matematiki i mehaniki
PY  - 2009
SP  - 125
EP  - 132
VL  - 15
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TIMM_2009_15_2_a11/
LA  - ru
ID  - TIMM_2009_15_2_a11
ER  - 
%0 Journal Article
%A A. A. Kuznetsov
%A A. K. Shlepkin
%T Comparative analysis of the Burnside groups $B(2,5)$ and $B_0(2,5)$
%J Trudy Instituta matematiki i mehaniki
%D 2009
%P 125-132
%V 15
%N 2
%U http://geodesic.mathdoc.fr/item/TIMM_2009_15_2_a11/
%G ru
%F TIMM_2009_15_2_a11
A. A. Kuznetsov; A. K. Shlepkin. Comparative analysis of the Burnside groups $B(2,5)$ and $B_0(2,5)$. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 2, pp. 125-132. http://geodesic.mathdoc.fr/item/TIMM_2009_15_2_a11/

[1] Adyan S. I., Problema Bernsaida i torzhestva v gruppakh, Nauka, M., 1975, 336 pp. | MR | Zbl

[2] Vaughan Lee M., The restricted Burnside problem, Clarendon Press, New York, 1993, 210 pp. | MR | Zbl

[3] Sims C., Computation with finitely presented groups, Cambridge University Press, Cambridge, 1994, 628 pp. | MR

[4] Holt D., Eick B., O'Brien E., Handbook of computational group theory, Chapman Hall/CRC Press, Boca Raton, 2005, 514 pp. | MR | Zbl

[5] Kostrikin A. I., “Reshenie oslablennoi problemy Bernsaida dlya pokazatelya 5”, Izv. AN SSSR. Ser. mat., 19:3 (1955), 233–244 | MR | Zbl

[6] Havas G., Wall G., Wamsley J., “The two generator restricted Burnside group of exponent five”, Bull. Austral. Math. Soc., 10 (1974), 459–470 | DOI | MR | Zbl