Characters of Finite Quasigroups III: Quotients and Fusion

K. W. Johnson, J. D.H. Smith

Research output: Contribution to journalArticlepeer-review

27 Scopus citations


The character theory of finite quasigroups, introduced in [4] and [5], 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.

Original languageEnglish (US)
Pages (from-to)47-56
Number of pages10
JournalEuropean Journal of Combinatorics
Issue number1
StatePublished - 1989

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics


Dive into the research topics of 'Characters of Finite Quasigroups III: Quotients and Fusion'. Together they form a unique fingerprint.

Cite this