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Algebraic and Topological Methods in Graph Theory
December 11-15, 2000
The University of Auckland
Auckland, New Zealand

Organizers
Dr Paul Bonnington, Prof Marston Conder, Michael Prestidge, Jamie Sneddon (sneddon@math.auckland.ac.nz), Dr Michael Dinneen

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Normally imprimitive group actions, and vertex-transitive graphs
by
Boris Zgrablic
University of Ljubljana
Coauthors: Aleksander Malnic, Dragan Marusic, Primoz Potocnik, Norbert Seifter

For a given action of a group G on a set V, a partition P of V is normal if P is the set of orbits of some normal subgroup of G. The action is normally imprimitive if it is transitive and if every G-invariant partition of V is normal. Normally imprimitive group actions will be discussed, as well as vertex-transitive graphs admitting a normally imprimitive group of automorphisms.

Date received: November 24, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafp-32.