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Information Center for Mathematical Science

논문검색

Information Center for Mathematical Science

논문검색

Glasnik Matematicki Serja III.
( Vol. 34 NO.2 / (1999))
On Symmetric (36, 15, 6) Designs
Dean Crnkovic,
Pages. 105-108
Abstract Up to isomorphism there are 4 symmetric (36,15,6) designs with automorphisms of order 7 and 38 symmetric (36,15,6) designs with automorphisms of order 5. For those designs full automorphism groups are determined. Also, all symmetric
(36,15,6) designs having automorphisms of order 3 acting with 9 and 6 fixed
points, or cyclic automorphism groups of order 4 acting standarly are
constructed and orders of their full automorphism groups are determined.
Contents 1. Introduction and preliminaries 2. Automorphism groups of order 5 and 7 3. automorphism groups of order 3 4. Cyclic automorphism groups of order 4 acting standardly
Key words symmetric design, automorphism group, orbit structure
Mathmatical Subject Classification 05B05