Induced characters for finite quasigroups are defined, simplifying and generalizing the usual definition for groups. The Frobenius Reciprocity Theorem and an analogue of Artin's Theorem for these characters are proved. Character rings for quasigroups are examined. Induced characters are then used to build the character table of the octonion loop.
All Science Journal Classification (ASJC) codes
- Discrete Mathematics and Combinatorics