A BOUND FOR THE NILPOTENCY OF A GROUP OF SELF HOMOTOPY-EQUIVALENCES

Authors
Citation
Y. Felix et A. Murillo, A BOUND FOR THE NILPOTENCY OF A GROUP OF SELF HOMOTOPY-EQUIVALENCES, Proceedings of the American Mathematical Society, 126(2), 1998, pp. 625-627
Citations number
10
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
ISSN journal
00029939
Volume
126
Issue
2
Year of publication
1998
Pages
625 - 627
Database
ISI
SICI code
0002-9939(1998)126:2<625:ABFTNO>2.0.ZU;2-D
Abstract
Let E-Omega(X) be the group of homotopy classes of self-homotopy equiv alences of X such that Omega f similar or equal to 1d(Omega X). We pro ve that epsilon(Omega)(X) is a nilpotent group and that nil epsilon(Om ega)(X) less than or equal to cat(X) - 1.