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Universally equivalent solvable groups

Universally equivalent solvable groups Every group that is finitely presented in the varietyA n of solvable groups. and is universally equivalent to a free group Fr(A n) in this variety, is embedded in the Cartesian degree of F2(A n). All subgroups on a set of two generators in that Cartesian degree which are universally equivalent to F2(A n) are determined. Free solvable and nilpotent groups are proved universally equivalent. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Algebra and Logic Springer Journals

Universally equivalent solvable groups

Timoshenko, E.
Algebra and Logic , Volume 39 (2) – Jul 21, 2007
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References (5)

Publisher
Springer Journals
Copyright
Copyright © 2000 by Kluwer Academic/Plenum Publsihers
Subject
Mathematics; Algebra; Mathematical Logic and Foundations
ISSN
0002-5232
eISSN
1573-8302
DOI
10.1007/BF02681667
Publisher site
See Article on Publisher Site

Abstract

Every group that is finitely presented in the varietyA n of solvable groups. and is universally equivalent to a free group Fr(A n) in this variety, is embedded in the Cartesian degree of F2(A n). All subgroups on a set of two generators in that Cartesian degree which are universally equivalent to F2(A n) are determined. Free solvable and nilpotent groups are proved universally equivalent.

Journal

Algebra and Logic – Springer Journals

Published: Jul 21, 2007

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