Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 1, pp. 313-315
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U. U. Umirbaev. On ranks of elements of free groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 1, pp. 313-315. http://geodesic.mathdoc.fr/item/FPM_1996_2_1_a20/
@article{FPM_1996_2_1_a20,
author = {U. U. Umirbaev},
title = {On ranks of elements of free groups},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {313--315},
year = {1996},
volume = {2},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1996_2_1_a20/}
}
TY - JOUR
AU - U. U. Umirbaev
TI - On ranks of elements of free groups
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1996
SP - 313
EP - 315
VL - 2
IS - 1
UR - http://geodesic.mathdoc.fr/item/FPM_1996_2_1_a20/
LA - ru
ID - FPM_1996_2_1_a20
ER -
%0 Journal Article
%A U. U. Umirbaev
%T On ranks of elements of free groups
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1996
%P 313-315
%V 2
%N 1
%U http://geodesic.mathdoc.fr/item/FPM_1996_2_1_a20/
%G ru
%F FPM_1996_2_1_a20
A criterion for a system of elements of the free group to have given rank is obtained. This result is a group analog of the theorem of A. A. Mikhalev and A. A. Zolotykh on ranks of system of elements in free Lie algebras.
