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 Omega BG(p)(A) 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.
Original language | English |
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Pages (from-to) | 1064-1080 |
Number of pages | 17 |
Journal | Journal of the London Mathematical Society |
Volume | 59 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1999 |
Keywords
- cohomology
- Sullivan
- torsion