Determination of the multiplicative nilpotency of self-homotopy sets
Algebraic Topology
2009-03-27 v1
Abstract
The semigroup of the homotopy classes of the self-homotopy maps of a finite complex which induce the trivial homomorphism on homotopy groups is nilpotent. We determine the nilpotency of these semigroups of compact Lie groups and finite Hopf spaces of rank 2. We also study the nilpotency of semigroups for Lie groups of higher rank. Especially, we give Lie groups with the nilpotency of the semigroups arbitrarily large.
Keywords
Cite
@article{arxiv.0903.4607,
title = {Determination of the multiplicative nilpotency of self-homotopy sets},
author = {Ken-ichi Maruyama},
journal= {arXiv preprint arXiv:0903.4607},
year = {2009}
}
Comments
This is the version published by Geometry & Topology Monographs on 29 January 2007