On the quotient of a free group by the commutator of two normal subgroups

DOI10.1016/0022-4049(91)90115-IzbMath0755.20004MaRDI QIDQ1181459

Yu. V. Kuz'min, Brian Hartley

Publication date: 27 June 1992

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

normal subgroupsfree groupone-relator groupsexact sequencederived seriesMagnus embeddingaugmentation idealHopf's formula

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Homological methods in group theory (20J05) Free nonabelian groups (20E05) Derived series, central series, and generalizations for groups (20F14)

Related Items (2)

INTERSECTION OF SUBGROUPS IN FREE GROUPS AND HOMOTOPY GROUPS ⋮ On commutator ideals in free Lie algebras.

Cites Work

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• On Gupta representations of central extensions
• Elements of order 2 in a free centrally solvable group
• Cohomology theory of groups with a single defining relation
• FINITE GROUPS HAVING ISOMORPHIC IMAGES IN EVERY FINITE GROUP OF WHICH THEY ARE HOMOMORPHIC IMAGES
• THE STRUCTURE OF FREE GROUPS OF CERTAIN VARIETIES
• Homology of Higher Relation Modules and Torsion in Free Central Extensions of Groups
• Homology theory of free abelianized extensions

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