Title
A note on bounded automorphisms of infinite graphs.
Abstract
LetX be a connected locally finite graph with vertex-transitive automorphism group. IfX has polynomial growth then the set of all bounded automorphisms of finite order is a locally finite, periodic normal subgroup ofAUT(X) and the action ofAUT(X) onV(X) is imprimitive ifX is not finite. IfX has infinitely many ends, the group of bounded automorphisms itself is locally finite and periodic.
Year
DOI
Venue
1989
10.1007/BF01788688
Graphs and Combinatorics
Field
DocType
Volume
Outer automorphism group,Topology,Graph,Combinatorics,Automorphisms of the symmetric and alternating groups,Polynomial,Automorphism,Periodic graph (geometry),Mathematics,Normal subgroup,Bounded function
Journal
5
Issue
ISSN
Citations 
1
1435-5914
12
PageRank 
References 
Authors
3.05
1
5
Name
Order
Citations
PageRank
Chris D. Godsil17516.63
Wilfried Imrich244453.81
N Seifter313726.49
Mark E. Watkins410932.53
Wolfgang Woess55813.99