𝔖 Bobbio Scriptorium
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Primitive groups with most suborbits doubly transitive

✍ Scribed by Peter J. Cameron

Publisher
Springer
Year
1973
Tongue
English
Weight
539 KB
Volume
1
Category
Article
ISSN
0046-5755

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✦ Synopsis

Jz of order 175560 has a primitive rank 5 representation of degree 266 in which the stabiliser of a point is isomorphic to PSL (2, 11) and acts doubly transitively on suborbits of lengths 11 and 12; the other suborbit lengths are 110 and 132. (See Livingstone [7].) Note also that the group [Z5 xZs]S3 of degree 25 has four suborbits of length 3 and two of length 6.

πŸ“œ SIMILAR VOLUMES

SGDs with doubly transitive automorphism
SGDs with doubly transitive automorphism group
✍ Cameron, Peter J. πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 168 KB

Symmetric graph designs, or SGDs, were defined by Gronau et al. as a common generalization of symmetric BIBDs and orthogonal double covers. This note gives a classification of SGDs admitting a 2-transitive automorphism group. There are too many for a complete determination, but in some special cases