Characters of Finite Quasigroups III: Quotients and Fusion

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

Research output: Contribution to journalArticle

26 Scopus citations

Abstract

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
Volume10
Issue number1
DOIs
StatePublished - Jan 1 1989

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics

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