Izvestiya. Mathematics, Tome 2 (1968) no. 1, pp. 209-236
Citer cet article
P. S. Novikov; S. I. Adian. Infinite periodic groups. I. Izvestiya. Mathematics, Tome 2 (1968) no. 1, pp. 209-236. http://geodesic.mathdoc.fr/item/IM2_1968_2_1_a9/
@article{IM2_1968_2_1_a9,
author = {P. S. Novikov and S. I. Adian},
title = {Infinite periodic groups. {I}},
journal = {Izvestiya. Mathematics},
pages = {209--236},
year = {1968},
volume = {2},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1968_2_1_a9/}
}
TY - JOUR
AU - P. S. Novikov
AU - S. I. Adian
TI - Infinite periodic groups. I
JO - Izvestiya. Mathematics
PY - 1968
SP - 209
EP - 236
VL - 2
IS - 1
UR - http://geodesic.mathdoc.fr/item/IM2_1968_2_1_a9/
LA - en
ID - IM2_1968_2_1_a9
ER -
%0 Journal Article
%A P. S. Novikov
%A S. I. Adian
%T Infinite periodic groups. I
%J Izvestiya. Mathematics
%D 1968
%P 209-236
%V 2
%N 1
%U http://geodesic.mathdoc.fr/item/IM2_1968_2_1_a9/
%G en
%F IM2_1968_2_1_a9
In this paper we construct an example of an infinite periodic group with a finite number of generators, in which the orders of all the elements are bounded by a specified number. This is a solution of the well-known Burnside problem.