Abstract
A plocal compact group consists of a discrete ptoral group S, together with a fusion system and a linking system over S which define a classifying space having very nice homotopy properties. We prove here that if some finite regular cover of a space Y is the classifying space of a plocal compact group, then so is Y^p . Together with earlier results by Dwyer and Wilkerson and by the authors, this implies as a special case that a finite loop space determines a plocal compact group at each prime p.
Original language  English 

Pages (fromto)  29152982 
Number of pages  67 
Journal  Algebraic & Geometric Topology 
Volume  14 
Issue number  5 
DOIs  
Publication status  Published  5 Nov 2014 
Keywords
 finite loop spaces
 classifying spaces
 p–local compact groups
 fusion
Fingerprint Dive into the research topics of 'An Algebraic Model for Finite Loop Spaces'. Together they form a unique fingerprint.
Profiles

Ran Levi
 Mathematical Sciences (Research Theme)
 School of Natural & Computing Sciences, Mathematical Science  Chair in Mathematical Sciences
Person: Academic