Matematičeskie zametki, Tome 22 (1977) no. 4, pp. 575-582
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G. P. Egorychev; Yu. D. Ushakov. The ranks of the $p$-central series of free groups of certain manifolds. Matematičeskie zametki, Tome 22 (1977) no. 4, pp. 575-582. http://geodesic.mathdoc.fr/item/MZM_1977_22_4_a13/
@article{MZM_1977_22_4_a13,
author = {G. P. Egorychev and Yu. D. Ushakov},
title = {The ranks of the $p$-central series of free groups of certain manifolds},
journal = {Matemati\v{c}eskie zametki},
pages = {575--582},
year = {1977},
volume = {22},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_4_a13/}
}
TY - JOUR
AU - G. P. Egorychev
AU - Yu. D. Ushakov
TI - The ranks of the $p$-central series of free groups of certain manifolds
JO - Matematičeskie zametki
PY - 1977
SP - 575
EP - 582
VL - 22
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1977_22_4_a13/
LA - ru
ID - MZM_1977_22_4_a13
ER -
%0 Journal Article
%A G. P. Egorychev
%A Yu. D. Ushakov
%T The ranks of the $p$-central series of free groups of certain manifolds
%J Matematičeskie zametki
%D 1977
%P 575-582
%V 22
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1977_22_4_a13/
%G ru
%F MZM_1977_22_4_a13
A factor basis is found for the $p$-central series of a free torsion-free group for which a factor basis of the lower central series can be chosen among the basis commutators. For free solvable groups of finite rank, recursion formulas are obtained for the calculation of the ranks of the factors of the $p$-central series.
