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Even‐cycle systems with prescribed automorphism groups
Author(s) -
Grannell M. J.,
Griggs T. S.,
Lovegrove G. J.
Publication year - 2013
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.21334
Subject(s) - mathematics , automorphism , automorphism group , alternating group , combinatorics , inner automorphism , order (exchange) , p group , outer automorphism group , group (periodic table) , discrete mathematics , pure mathematics , chemistry , organic chemistry , finance , economics
It is shown that for any finite group Γ, there exists a 2 k ‐cycle system whose full automorphism group is isomorphic to Γ. Furthermore, the minimal order of such a system is at most 8 k γ log 2 γ + 1 , where γ = | Γ | .
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