Vol. 74, No. 1, 1978

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On groups with specified lower central series quotients

Jerry Grossman

Vol. 74 (1978), No. 1, 83–90
Abstract

Intrinsic necessary and sufficient conditions are established for a tower of groups to be the tower of lower central series quotients {G∕ΓsG} of some group G, in the case in which G∕Γ2G is finitely generated and the case in which G is free. A process for constructing a large number of groups with the same lower central series quotient tower is also described.

Mathematical Subject Classification 2000
Primary: 20E15
Secondary: 20F20
Milestones
Received: 29 November 1976
Revised: 4 August 1977
Published: 1 January 1978
Authors
Jerry Grossman