The character theory of finite quasigroups, introduced in  and , is developed further. The Quotient Theorem relates the character theory of a quasigroup to that of its homomorphic images. The Fusion Theorem relates the character theories of different quasigroup structures on the same set. Fusion geometry interprets certain character values as solutions of optimization problems. Magic rectangle conditions impose additional constraints that facilitate the computation of character tables.
All Science Journal Classification (ASJC) codes
Discrete Mathematics and Combinatorics