Vol. 3, No. 1, 2006
Download this article
Download this article For screen
For printing
Recent Issues
Volume 18
Volume 16
Volume 15
Volume 14
Volume 13
Volume 12
Volume 11
Volume 10
Volume 9
Volume 8
Volume 6+7
Volume 5
Volume 4
Volume 3
Volume 2
Volume 1
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN 2640-7345 (online)
ISSN 2640-7337 (print)
Author Index
To Appear
 
Other MSP Journals
Linear spaces with significant characteristic prime

Nick Gill
Vol. 3 (2006), No. 1, 109–119
DOI: 10.2140/iig.2006.3.109
Abstract

Let G be a group with socle a simple group of Lie type defined over the finite field with q elements where q is a power of the prime p. Suppose that G acts transitively upon the lines of a linear space S. We show that if p is significant then G acts flag-transitively on S and all examples are known.

Keywords
linear space, group of Lie type, line-transitive, parabolic subgroup
Mathematical Subject Classification 2000
Primary: 05B05, 20B25
Milestones
Received: 25 April 2006
Accepted: 24 May 2006
Authors
Nick Gill
Department of Mathematics
University of South Wales
Treforest
CF37 1DL
United Kingdom