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 Mat. Zametki, 1977, Volume 22, Issue 4, Pages 575–582 (Mi mz8080)

The ranks of the $p$-central series of free groups of certain manifolds

G. P. Egorycheva, Yu. D. Ushakovb

a Institute of Physics, Siberian Branch of USSR Academy of Sciences
b Krasnoyarsk Polytechnic Institute

Abstract: 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.

Full text: PDF file (509 kB)

English version:
Mathematical Notes, 1977, 22:4, 811–815

Bibliographic databases:

UDC: 519.4

Citation: G. P. Egorychev, Yu. D. Ushakov, “The ranks of the $p$-central series of free groups of certain manifolds”, Mat. Zametki, 22:4 (1977), 575–582; Math. Notes, 22:4 (1977), 811–815

Citation in format AMSBIB
\Bibitem{EgoUsh77} \by G.~P.~Egorychev, Yu.~D.~Ushakov \paper The ranks of the $p$-central series of free groups of certain manifolds \jour Mat. Zametki \yr 1977 \vol 22 \issue 4 \pages 575--582 \mathnet{http://mi.mathnet.ru/mz8080} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=506932} \zmath{https://zbmath.org/?q=an:0376.20021} \transl \jour Math. Notes \yr 1977 \vol 22 \issue 4 \pages 811--815 \crossref{https://doi.org/10.1007/BF01146430}