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A Steiner 5-Design on 36 Points

✍ Scribed by Anton Betten; Reinhard Laue; Alfred Wassermann

Book ID
111561867
Publisher
Springer
Year
1999
Tongue
English
Weight
56 KB
Volume
17
Category
Article
ISSN
0925-1022

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πŸ“œ SIMILAR VOLUMES

A Steiner 2-design with an automorphism
A Steiner 2-design with an automorphism fixing exactly r + 2 points
✍ Charles J. Colbourn πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 159 KB

Doyen conjectured that there is no Steiner 2-design having an automorphism with more than r + 1 but fewer than r + √ r -1 fixed points, where r is the replication number. The falsity of this conjecture is shown by describing 2-(45, 5, 1) designs having an automorphism of order 2 with exactly 13 fixe

Two 5-designs on 32 points
Two 5-designs on 32 points
✍ Dragan M Acketa; Vojislav Mudrinski πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 68 KB

A t -(v,k,2) design is a collection ~ of k-subsets (called blocks) of a v-element set X of points, that satisfies the property that each t-element subset of points is in exactly 2 blocks. We also require that ao block is repeated. A group G acting on X is an automorphism group of 8, if ~ is a Union