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On elementary amenable groups of finite Hirsch number

Part of: Special aspects of infinite or finite groups

Published online by Cambridge University Press:  09 April 2009

B. A. F. Wehrfritz
B. A. F. Wehrfritz
Affiliation:
School of Mathematical Sciences, Queen Mary & Westfield College, Mile End Road, London E1 4NS, England
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Abstract

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We give an alternative short proof of a recent theorem of J. A. Hillman and P.A. Linnell that an elementary amenable group with finite Hirsch number has, modulo its locally finite radical, a soluble normal subgroup with index and derived length bounded only in terms of the Hirsch number of the group.

MSC classification

Secondary: 20F19: Generalizations of solvable and nilpotent groups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 58 , Issue 2 , April 1995 , pp. 219 - 221
Copyright
Copyright © Australian Mathematical Society 1995

References

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