J Austral Math Soc Ser A 58 pp219--221, 1995.

On Elementary Amenable Groups of Finite Hirsch Number

B. A. F. Wehrfritz

(Received 15 June 1992; revised 15 August 1992)

Abstract

We give an alternate short proof of a recent theorem of J. A. Hillman and P. A. Linnel 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.

1991 AMS Subject Classification: 20F19

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Authors

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

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