Ponomarenko, Ilya; Matematični kolokvij junij 2011

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On quasi-thin association schemes

Ilya Ponomarenko

Petersburg Department of V. A. Steklov Institute of Mathematics
St. Petersburg, Rusija

16. junij 2011

An association scheme is called quasi-thin if the valency of each its basic relation is one or two. A quasi-thin scheme is Kleinian if its thin residue is the Klein four-group with respect to relational product. It turns out that any Kleinian scheme arises from near-pencil on 3 points, or affine or projective plane of order 2. The main result is that any non-Kleinian quasi-thin scheme is the two-orbit scheme of a suitable permutation group.

This is joint work with M. Muzychuk.

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