Translator Disclaimer
2018 Anick spaces and Kac–Moody groups
Stephen Theriault, Jie Wu
Algebr. Geom. Topol. 18(7): 4305-4328 (2018). DOI: 10.2140/agt.2018.18.4305

Abstract

For primes p 5 we prove an approximation to Cohen, Moore and Neisendorfer’s conjecture that the loops on an Anick space retracts off the double loops on a mod- p Moore space. The approximation is then used to answer a question posed by Kitchloo regarding the topology of Kac–Moody groups. We show that, for certain rank- 2 Kac–Moody groups K , the based loops on K is p –locally homotopy equivalent to the product of the loops on a 3 –sphere and the loops on an Anick space.

Citation

Download Citation

Stephen Theriault. Jie Wu. "Anick spaces and Kac–Moody groups." Algebr. Geom. Topol. 18 (7) 4305 - 4328, 2018. https://doi.org/10.2140/agt.2018.18.4305

Information

Received: 31 March 2018; Revised: 10 June 2018; Accepted: 21 June 2018; Published: 2018
First available in Project Euclid: 18 December 2018

zbMATH: 07006392
MathSciNet: MR3892246
Digital Object Identifier: 10.2140/agt.2018.18.4305

Subjects:
Primary: 55P35
Secondary: 55P15, 57T20

Rights: Copyright © 2018 Mathematical Sciences Publishers

JOURNAL ARTICLE
24 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.18 • No. 7 • 2018
MSP
Back to Top