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On two problems of H. Neumann and J. Wiegold about linked products of groups

Published online by Cambridge University Press:  17 April 2009

S.V. Ivanov  and
A.Yu. Ol'shanskii
S.V. Ivanov
Affiliation:
Department of Mathematics and Mechanics, Moscow University, Moscow 119899, Russia
A.Yu. Ol'shanskii
Affiliation:
Department of Mathematics and Mechanics, Moscow University, Moscow 119899, Russia
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Abstract

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The authors give affirmative answers to two questions of H. Neumann and Wiegold on linked embeddings of groups.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 46 , Issue 2 , October 1992 , pp. 311 - 315
Copyright
Copyright © Australian Mathematical Society 1992

References

[1]Ivanov, S.V., ‘On periodic products of groups’ (to appear).Google Scholar
[2]Lyndon, R. and Schupp, P., Combinatorial group theory (Springer-Verlag, Berlin, Heidelberg, New York, 1977).Google Scholar
[3]Neumann, H. and Wiegold, J., ‘Linked products and linked embeddings of groups’, Math. Z. 73 (1960), 1–19.CrossRefGoogle Scholar
[4]Neuman, B.H. and Neumann, H., ‘On linked products of groups’, Acta Sci. Math. 21 (1960), 197–205.Google Scholar
[5]Ol'shanskii, A. Yu., Geometry of defining relations in groups, (in Russian) (Nauka, Moscow, 1989).Google Scholar
[6]Ol'shanskii, A. Yu., ‘On thrifty embeddings of groups’, (in Russian), Vestnik Moskovsk. Univ. 2 (1989), 28–34.Google Scholar