Vol. 132, No. 1, 1988

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On the Tor functor and some classes of abelian groups

Patrick Keef

Vol. 132 (1988), No. 1, 63–84
Abstract

The functor Tor is related to some classes of Cλ groups, notably the IT groups, and when λ = Ω the CΩ groups of balanced projective dimensions 1. Separate necessary and sufficient conditions are given for Tor(G,H) to be a d.s.c. group when G and H are Cλ groups. Some generalizations of the fact that balanced subgroups of G and H determine balanced subgroups of Tor(G,H) are presented.

Mathematical Subject Classification 2000
Primary: 20K10
Secondary: 18G15, 20K40
Milestones
Received: 7 January 1986
Revised: 29 December 1986
Published: 1 March 1988
Authors
Patrick Keef