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Some varieties without the amalgam embedding property

Published online by Cambridge University Press:  17 April 2009

Stephen Meskin
Stephen Meskin
Affiliation:
Department of Mathematics, IAS, Australian National University, Canberra, ACT.
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Abstract

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A variety of groups has the amalgam embedding property if every amalgam of two -groups can be embedded in a -group. In this note the author proves that if is a variety of exponent O which satisfies a law W(x1, X2,…, xt) but not W(x1, x2,… xt) then does not have the amalgam embedding property.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 1 , Issue 3 , December 1969 , pp. 417 - 418
Copyright
Copyright © Australian Mathematical Society 1969

References

[1]Neumann, Hanna, Varieties of groups, (Ergebnisse der Mathematik, und ihrer Grenzgebiete, Band 37, Springer-Verlag, Berlin, Heidelberg, New York, 1967).CrossRefGoogle Scholar