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On infinite Steiner systems

✍ Scribed by M.J. Grannell; T.S. Griggs; J.S. Phelan

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
256 KB
Volume
97
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES

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## Abstract We give a general construction for Steiner triple systems on a countably infinite point set and show that it yields 2 nonisomorphic systems all of which are uniform and __r__‐sparse for all finite __r__β©Ύ4. Β© 2009 Wiley Periodicals, Inc. J Combin Designs 18: 115–122, 2010

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Large sets of Steiner systems s ( t , k , n ) exist for all finite t and k with t < k and all infinite n. The vector space analogues exist over a field F for all finite t and k with f < R provided that either v or F is infinite, and n 1 2k -t + 1. This inequality is best possible. o 1995 John Wiley

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For definitions and preliminary results see also Section 2. ' See Section 3.1. ' For the convenience of the reader we repeat here the argument of the proof of Theorem 1 in with 2p a instead of 2 5".

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✍ Hans Ludwig de Vries πŸ“‚ Article πŸ“… 1984 πŸ› Elsevier Science 🌐 English βš– 672 KB
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✍ Haim Hanani πŸ“‚ Article πŸ“… 1984 πŸ› Elsevier Science 🌐 English βš– 251 KB