A note on bounded automorphisms of infinite graphs

C. Godsil; Wilfried Imrich; Norbert Seifter; Mark Watkins; Wolfgang Woess

doi:10.1007/BF01788688

A note on bounded automorphisms of infinite graphs

C. Godsil
, Wilfried Imrich
, Norbert Seifter
, Mark Watkins
, Wolfgang Woess

Lehrstuhl für Angewandte Mathematik (170)

University of Waterloo
Syracuse University

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Begutachtung

20 Zitate (Scopus)

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.

Originalsprache	undefiniert/unbekannt
Seiten (von - bis)	333-338
Seitenumfang	6
Fachzeitschrift	Graphs and combinatorics
Jahrgang	5.1989
Ausgabenummer	December
DOIs	https://doi.org/10.1007/BF01788688
Publikationsstatus	Veröffentlicht - 1989

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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.",

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AU - Seifter, Norbert

AU - Watkins, Mark

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AB - 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.

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JO - Graphs and combinatorics

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