Journal of the Australian Mathematical Society - Series A Vol. 64 Part 2 (1998) 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. PDF file size: 44K © Copyright 1998, Australian Mathematical Society