Vol. 127, No. 2, 1987

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On the universality of systems of words in permutation groups

Manfred Droste and Saharon Shelah

Vol. 127 (1987), No. 2, 321–328
Abstract

In the classes of infinite symmetric groups, their normal subgroups, and their factor groups, we determine those groups which are equivalent in the sense that they may not be distinguished by the solvability of a system of finitely many equations in variables and parameters.

Mathematical Subject Classification 2000
Primary: 20F10
Secondary: 20B30
Milestones
Received: 25 February 1984
Revised: 25 October 1984
Published: 1 April 1987
Authors
Manfred Droste
Saharon Shelah