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On the absence of cohomological finiteness in wreath products

Part of: Structure and classification of infinite or finite groups Connections with homological algebra and category theory Special aspects of infinite or finite groups

Published online by Cambridge University Press:  09 April 2009

Gilbert Baumslag ,
Martin R. Bridson  and
Karl W. Gruenberg
Gilbert Baumslag
Affiliation:
Department of Mathematics City College of New YorkConvent Avenue at 138th Street New York, NY 10031USA e-mail: gilbert@groups.sci.ccny.cuny.edu
Martin R. Bridson
Affiliation:
Mathematical Institute24–29 St. Giles Oxford OX1 3LBU. K. e-mail: bridson@maths.ox.ac.uk
Karl W. Gruenberg
Affiliation:
Mathematics Department Queen Mary and Westfield CollegeMile End Road London ElU.K. e-mail: K.W.Gruenberg@qmw.ac.uk
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Abstract

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The wreath product W = A ≀ T, where A ≠ 1, is of type F P2 if and only if T is finite and A is of type F P2.

MSC classification

Secondary: 20E22: Extensions, wreath products, and other compositions 20F05: Generators, relations, and presentations 20J05: Homological methods in group theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 64 , Issue 2 , April 1998 , pp. 222 - 230
Copyright
Copyright © Australian Mathematical Society 1998

References

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