Vol. 1, No. 1, 2005
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
On the thin regular geometries of rank four for the Janko group $J_1$

Michael Hartley and Dimitri Leemans
Vol. 1 (2005), No. 1, 181–190
DOI: 10.2140/iig.2005.1.181
Abstract

The Janko group J1 acts regularly on six rank four thin residually connected geometries. Two of them are polytopes of type {5,3,5} and {5,6,5}. In this paper, we show that starting from the {5,3,5} polytope, the five other thin geometries may be constructed in a simple manner.

Keywords
abstract polytopes, thin geometries, sporadic group
Mathematical Subject Classification 2000
Primary: 20F65, 51M20, 52B15
Milestones
Received: 1 October 2004
Accepted: 2 December 2004
Authors
Michael Hartley
Dimitri Leemans