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Extensions of Orderable Groups

Published online by Cambridge University Press:  20 November 2018

R. Botto Mura  and
A. H. Rhemtulla
R. Botto Mura
Affiliation:
Dép. Didactique, F.S.E., Université Laval, Québec(Qué) G1K 7P4
A. H. Rhemtulla
Affiliation:
Dép. Didactique, F.S.E., Université Laval, Québec(Qué) G1K 7P4
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The purpose of this note is to unify Theorem 4 of G. Baumslag [2] and a result of D. M. Smirnov in [6] in a more general setting. We prove the following result.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 20 , Issue 3 , 01 September 1977 , pp. 393 - 395
Copyright
Copyright © Canadian Mathematical Society 1977

References

1. Auslander, M. and Lyndon, R. C., Commutator subgroups of free groups. Amer. J. Math. 77, 929-931 (1955).Google Scholar
2. Baumslag, G., Wreath products and extensions. Math. Z. 81, 286-299 (1963).Google Scholar
3. Cohn, P. M., Groups of order automorphisms of ordered sets. Mathematika 4, 41-50 (1957).Google Scholar
4. Dunwoody, M. J., On verbal subgroups of free groups. Arch. Math. (Basel) 16, 153-157 (1965).Google Scholar
5. Kokorin, A. I., Y-fully orderable and relatively convex subgroups of orderable groups. (In Russian) Sibirsk. Mat. Z. 7, 713-717 (1966).Google Scholar
6. Smirnov, D. M., Right-ordered groups. Algebra i Logika 5:6, 41-59 (1966).Google Scholar
7. Smirnov, D. M., On generalized solvable groups and their group rings. Mat. Sb. 109 (N.S. 67), 366-383 (1965).Google Scholar