Graphs with polynomial growth are covering graphs
β Scribed by C. D. Godsil; N. Seifter
- Book ID
- 105540750
- Publisher
- Springer Japan
- Year
- 1992
- Tongue
- English
- Weight
- 556 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Seifter, N., Groups acting on graphs with polynomial growth, Discrete Mathematics 89 (1991) 269-280. In the first part of this paper we consider nilpotent groups G acting with finitely many orbits on infinite connected locally finite graphs X thereby showing that all (Y E G of infinite order are au
Let X be a locally finite, vertex-transitive, infinite graph with polynomial growth. Then there exists a quotient group of Aut(X ) which contains a finitely generated nilpotent subgroup N which has the same growth rate as X . We show that X contains a subgraph which is finitely contractible onto the