J Austral Math Soc Ser A 52 pp237--241, 1992.

Elementary Amenable Groups of Finite Hirsch Length are Locally-Finite by Vitually-Solvable

J. A. Hillman and P. A. Linnel

Abstract

If G is an elementary amenable group of finite Hirsch length h, then the quotient of G by its maximal locally finite normal subgroup has a maximal solvable normal subgroup, of derived length and index bounded in terms of h.

1991 AMS Subject Classification: primary 20F19; secondary 20F38

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Authors

J. A. Hillman

The University of Sydney, Sydney, NSW 2006 Australia.

P. A. Linnel

Virginia Polytechnic Institut and State University, Blacksburg, VA 24061-0123.