#### Volume 15, issue 3 (2015)

 Recent Issues
 The Journal About the Journal Editorial Board Subscriptions Editorial Interests Editorial Procedure Submission Guidelines Submission Page Ethics Statement ISSN (electronic): 1472-2739 ISSN (print): 1472-2747 Author Index To Appear Other MSP Journals
Mod $p$ decompositions of the loop spaces of compact symmetric spaces

### Shizuo Kaji, Akihiro Ohsita and Stephen Theriault

Algebraic & Geometric Topology 15 (2015) 1771–1811
##### Abstract

We give $p$–local homotopy decompositions of the loop spaces of compact, simply connected symmetric spaces for quasi-regular primes. The factors are spheres, sphere bundles over spheres and their loop spaces. As an application, upper bounds for the homotopy exponents are determined.

##### Keywords
homotopy decomposition, symmetric space, homotopy exponent
##### Mathematical Subject Classification 2010
Primary: 55P15, 55P40
Secondary: 57T20