THE STRUCTURE OF FREE GROUPS OF CERTAIN VARIETIES

DOI10.1070/SM1986V053N01ABEH002913zbMath0597.20020OpenAlexW2002789620MaRDI QIDQ3729154

Yu. V. Kuz'min

Publication date: 1986

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1986v053n01abeh002913

zbMATH Keywords

torsionfree groupexact sequenceshomology groupswreath productfree centre-by- metabelian groupsresidually torsion free nilpotent

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22) Free nonabelian groups (20E05) Residual properties and generalizations; residually finite groups (20E26) Quasivarieties and varieties of groups (20E10)

Related Items (4)

On the quotient of a free group by the commutator of two normal subgroups ⋮ Elements of Finite Order in Free Centre-by-Nilpotent-by-Abelian Groups^# ⋮ On elements of order 2 in the free centre-by-(nilpotent of class 3)-by-abelian group within the variety of all soluble groups of derived length 3 ⋮ Free centre-by-(abelian-by-exponent 2) groups.

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