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Finite complexes with infinitely-generated groups of self-equivalences

✍ Scribed by David Frank; Donald W. Kahn


Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
279 KB
Volume
16
Category
Article
ISSN
0040-9383

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A directed Cayley graph X is called a digraphical regular representation (DRR) of a group G if the automorphism group of X acts regularly on X . Let S be a finite generating set of the infinite cyclic group Z. We show that a directed Cayley graph X (Z, S) is a DRR of Z if and only if As a general r

The group of self homotopy equivalences
✍ A. GarvΓ­n; A. Murillo; J. Remedios; A. Viruel πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 119 KB

## Abstract By studying the group of self homotopy equivalences of the localization (at a prime __p__ and/or zero) of some aspherical complexes, we show that, contrary to the case when the considered space is a nilpotent, β„°^__m__^ ~#~(__X__~__p__~ ) is in general different from β„°^__m__^ ~#~(__X__)_