About the centralizer of an automorphism of order 2 of Burnside group $B_0(2,5)$
Vladikavkazskij matematičeskij žurnal, Tome 12 (2010) no. 4, pp. 44-48 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The structure of the centralizer of an automorphism of order 2 of a special kind of Burnside group $B_0(2, 5)$ is investigated. The generators, order, nilpotency class and derived length of of the centralizer are computed. The lower and upper central series of of the centralizer are built.
@article{VMJ_2010_12_4_a6,
     author = {A. A. Kuznetsov and K. A. Philippov},
     title = {About the centralizer of an automorphism of order~2 of {Burnside} group $B_0(2,5)$},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {44--48},
     year = {2010},
     volume = {12},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2010_12_4_a6/}
}
TY  - JOUR
AU  - A. A. Kuznetsov
AU  - K. A. Philippov
TI  - About the centralizer of an automorphism of order 2 of Burnside group $B_0(2,5)$
JO  - Vladikavkazskij matematičeskij žurnal
PY  - 2010
SP  - 44
EP  - 48
VL  - 12
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/VMJ_2010_12_4_a6/
LA  - ru
ID  - VMJ_2010_12_4_a6
ER  - 
%0 Journal Article
%A A. A. Kuznetsov
%A K. A. Philippov
%T About the centralizer of an automorphism of order 2 of Burnside group $B_0(2,5)$
%J Vladikavkazskij matematičeskij žurnal
%D 2010
%P 44-48
%V 12
%N 4
%U http://geodesic.mathdoc.fr/item/VMJ_2010_12_4_a6/
%G ru
%F VMJ_2010_12_4_a6
A. A. Kuznetsov; K. A. Philippov. About the centralizer of an automorphism of order 2 of Burnside group $B_0(2,5)$. Vladikavkazskij matematičeskij žurnal, Tome 12 (2010) no. 4, pp. 44-48. http://geodesic.mathdoc.fr/item/VMJ_2010_12_4_a6/

[1] Adyan S. I., Problema Bernsaida i tozhdestva v gruppakh, Nauka, M., 1975, 335 pp. | MR | Zbl

[2] Kostrikin A. I., “O probleme Bernsaida”, Dokl. AN SSSR, 119:6 (1958), 1081–1084 | MR | Zbl

[3] Zelmanov E. I., “Reshenie oslablennoi problemy Bernsaida dlya 2-grupp”, Mat. sb., 182:4 (1991), 568–592 | MR | Zbl

[4] Hall P., Higman G., “On the $p$-length of $p$-soluble groups and reductions theorems for Burnside problem”, Proc. London Math. Soc. (3), 6 (1956), 1–42 | DOI | MR | Zbl

[5] 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