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Soluble groups in which every finitely generated subgroup is finitely presented

Published online by Cambridge University Press:  09 April 2009

J. R. J. Groves
J. R. J. Groves
Affiliation:
University of MelbourneParkville, Victoria 3052Australia
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Abstract

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The class of finitely generated soluble coherent groups is considered. It is shown that these groups have the maximal condition on normal subgroups and can be characterized in a number of ways. In particular, they are precisely the class of finitely generated soluble groups G with the property:

Subject classification (Amer. Math. Soc. (MOS) 1970): primary 20 E 15; secondary 20 F 05.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 26 , Issue 1 , August 1978 , pp. 115 - 125
Copyright
Copyright © Australian Mathematical Society 1978

References

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