A note on bounded automorphisms of infinite graphs
نویسندگان
چکیده
Let X be a connected locally finite graph with vertex-transitive automorphism group. If X has polynomial growth then the set of all bounded automorphisms of finite order is a locally finite, periodic normal subgroup of AUT(X) and the action of AUT(X) on V(X) is imprimitive if X is not finite. If X has infinitely many ends, the group of bounded automorphisms itself is locally finite and periodic.
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ورودعنوان ژورنال:
- Graphs and Combinatorics
دوره 5 شماره
صفحات -
تاریخ انتشار 1989