Modular representation of symmetric $2$-designs

Document Type : Research Paper

Author

Department of Mathematics, Faculty of Education, Nagasaki University, Nagasaki, Japan

Abstract

Complementary pairs of symmetric $2$-designs are equivalent to coherent configurations of type $(2, 2; 2)$.
D. G. Higman studied these coherent configurations and adjacency algebras of coherent configurations over a field of characteristic zero. These are always semisimple.  We investigate these algebras over fields of any characteristic prime and the structures.
 

Keywords


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