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Some rigid Steiner 5‐designs
Author(s) -
Grannell M. J.
Publication year - 2010
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.20252
Subject(s) - mathematics , automorphism , steiner system , combinatorics , psl , automorphism group , group (periodic table) , steiner tree problem , discrete mathematics , chemistry , organic chemistry
Hitherto, all known non‐trivial Steiner systems S (5, k, v ) have, as a group of automorphisms, either PSL (2, v −1) or PGL (2, ( v −2)/2) × C 2 . In this article, systems S (5, 6, 72), S (5, 6, 84) and S (5, 6, 108) are constructed that have only the trivial automorphism group. © 2010 Wiley Periodicals, Inc. J Combin Designs 18:392–400, 2010
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