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A remark on products of locally soluble groups

Published online by Cambridge University Press:  17 April 2009

C. J. B. Brookes  and
Howard Smith
C. J. B. Brookes
Affiliation:
Mathematisches Institut, Am Hubland, D-8700 Würzburg, Federal Republic of Germany.
Howard Smith
Affiliation:
Mathematisches Institut, Am Hubland, D-8700 Würzburg, Federal Republic of Germany.
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Abstract

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It is shown that if a group G is a product of two normal subgroups, each of which is locally soluble-of-finite-rank, then G is locally soluble if and only if it is locally of finite rank.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 30 , Issue 2 , October 1984 , pp. 175 - 177
Copyright
Copyright © Australian Mathematical Society 1984

References

[1]Kropholler, P.H., “On finitely generated soluble groups with no large wreath product sections”, Proc. London Math. Soc., to appear.Google Scholar
[2]Robinson, D.J.S., “Finiteness conditions and generalised soluble groups”, (Springer, Berlin, 1972).Google Scholar