On the absence of cohomological finiteness
in wreath products

Gilbert Baumslag
Department of Mathematics
City College of New York
Convent Avenue at 138th Street
New York, NY 10031
USA
e-mail: gilbert@groups.sci.ccny.cuny.edu
and
Martin R. Bridson
Mathematical Institute
24-29 St. Giles
Oxford OX1 3LB
U. K.
e-mail: bridson@maths.ox.ac.uk
and
Karl W. Gruenberg
Mathematics Department
Queen Mary and Westfield College
Mile End Road
London E1
U.K.
e-mail: K.W.Gruenberg@qmw.ac.uk

Abstract:

The wreath product $W=A\wr T$, where $A\neq 1$, is of type FP₂ if and only if T is finite and A is of type FP₂.

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© Copyright 1998, Australian Mathematical Society