Even-cycle systems with prescribed automorphism groups

Grannell, M. J.; Griggs, T. S. and Lovegrove, G. J. (2013). Even-cycle systems with prescribed automorphism groups. Journal of Combinatorial Designs, 21(4) pp. 142–156.

DOI: https://doi.org/10.1002/jcd.21334

URL: http://onlinelibrary.wiley.com/doi/10.1002/jcd.213...

Abstract

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 8kγ log₂ γ+1, where γ=|Γ|.

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About

• Item ORO ID
• 39209
• Item Type
• Journal Item
• ISSN
• 1520-6610
• Keywords
• automorphism group; cycle system
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2012 Wiley Periodicals, Inc.
• Depositing User
• Mike Grannell