Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-12-01T17:52:50.477Z Has data issue: false hasContentIssue false

PRIMITIVE PERMUTATION GROUPS WITH A COMMON SUBORBIT, AND EDGE-TRANSITIVE GRAPHS

Published online by Cambridge University Press:  06 March 2002

MARTIN W. LIEBECK
Affiliation:
Department of Mathematics, Imperial College, Huxley Building, 180 Queen's Gate, London SW7 2BZ m.liebeck@ic.ac.uk
CHERYL E. PRAEGER
Affiliation:
Department of Mathematics and Statistics, University of Western Australia, Perth, WA 6907, Australiapraeger@maths.uwa.edu.au
JAN SAXL
Affiliation:
DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB j.saxl@dpmms.cam.ac.uk
Get access

Abstract

Dedicated to the memory of Helmut Wielandt

In this paper a classification is obtained of all pairs G, H of finite primitive permutation groups such that G < H, the socles of G and H are different, and G and H share a common non-trivial orbital. An application is given to the study of automorphism groups of edge-transitive graphs.

2000 Mathematical Subject Classification: 20B15, 20B25.

Type
Research Article
Copyright
2002 London Mathematical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)