Characters of finite quasigroups
In this paper the authors study some of the basics of a character theory for finite non-empty quasigroups, generalizing the traditional ordinary character theory for groups. The authors present the relevant notions from quasigroup theory (the multiplication group, quasigroup conjugacy classes, and the space of class functions) which enable one to apply these theories to quasigroups. Quasigroup characters as class functions and the character table of a quasigroup are given explicitly, and the characters are seen to form an orthonormal basis for the space of class functions. Main result: the character table of a finite quasigroup Q specifies the congruence lattice of Q.
scientific article; zbMATH DE number 3853371
scientific article