Even-cycle systems with prescribed automorphism groups
Article first published online: 5 OCT 2012
© 2012 Wiley Periodicals, Inc.
Journal of Combinatorial Designs
Volume 21, Issue 4, pages 142–156, April 2013
How to Cite
Grannell, M. J., Griggs, T. S. and Lovegrove, G. J. (2013), Even-cycle systems with prescribed automorphism groups. J. Combin. Designs, 21: 142–156. doi: 10.1002/jcd.21334
- Issue published online: 4 FEB 2013
- Article first published online: 5 OCT 2012
- Manuscript Revised: 4 SEP 2012
- Manuscript Received: 13 JAN 2012
- automorphism group;
- cycle system
It is shown that for any finite group Γ, there exists a 2k-cycle system whose full automorphism group is isomorphic to Γ. Furthermore, the minimal order of such a system is at most , where .