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
β¦ LIBER β¦
Finite complexes with infinitely-generated groups of self-equivalences
β 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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## 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__)_