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ON p-COMPLETED CLASSIFYING SPACES OF DISCRETE GROUPS AND FINITE COMPLEXES

Published online by Cambridge University Press:  01 June 1999

RAN LEVI
RAN LEVI
Affiliation:
Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, IL 60208, USA, [email protected] Current address: Department of Mathematical Sciences, University of Aberdeen, Aberdeen AB24 3UE, [email protected]
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Abstract

It is shown that for certain discrete p-perfect groups G, in particular for all p-perfect finite groups and certain groups of finite virtual cohomological dimension, the loop space on the p-completed classifying space ΩBG∧p is a retract of the loop space on the p-completion of a certain finite complex. For those finite virtual cohomological dimension groups where the author's methods apply, a bound on the dimension of such a complex is provided.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 59 , Issue 3 , June 1999 , pp. 1064 - 1080
Copyright
The London Mathematical Society 1999

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