Title

Which Topological Groups Arise as Automorphism Groups of Locally Finite Graphs?

Author(s)

Xiao Chang, University of PittsburghFollow
Paul Gartside, University of Pittsburgh

Document Type

Topology + Algebra and Analysis

Publication Date

6-2017

Publication Source

32nd Summer Conference on Topology and Its Applications

Abstract

Let Γ be a graph which is countable and locally finite (every vertex has finite degree). Then the automorphism group of Γ, Aut(Γ), with the pointwise topology has a compact, zero dimensional open normal subgroup. We investigate whether the converse holds.

Comments

This document is available for download with the permission of the presenting author and the organizers of the conference. Permission documentation is on file.

Technological limitations may prevent some mathematical symbols and functions from displaying correctly in this record’s metadata fields. Please refer to the attached PDF for the correct display.

Copyright

Copyright © 2017, the Authors

eCommons Citation

Chang, Xiao and Gartside, Paul, "Which Topological Groups Arise as Automorphism Groups of Locally Finite Graphs?" (2017). Summer Conference on Topology and Its Applications. 48.
https://ecommons.udayton.edu/topology_conf/48