## Algebraic & Geometric Topology

### Mod $p$ decompositions of the loop spaces of compact symmetric spaces

#### 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.

#### Article information

Source
Algebr. Geom. Topol., Volume 15, Number 3 (2015), 1771-1811.

Dates
Revised: 25 September 2014
Accepted: 25 September 2014
First available in Project Euclid: 16 November 2017

https://projecteuclid.org/euclid.agt/1510840974

Digital Object Identifier
doi:10.2140/agt.2015.15.1771

Mathematical Reviews number (MathSciNet)
MR3361150

Zentralblatt MATH identifier
1320.55005

#### Citation

Kaji, Shizuo; Ohsita, Akihiro; Theriault, Stephen. Mod $p$ decompositions of the loop spaces of compact symmetric spaces. Algebr. Geom. Topol. 15 (2015), no. 3, 1771--1811. doi:10.2140/agt.2015.15.1771. https://projecteuclid.org/euclid.agt/1510840974

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