Characters of Finite Quasigroups III

Quotients and Fusion

Kenneth Johnson, J. D.H. Smith

Research output: Contribution to journalArticle

25 Citations (Scopus)

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

Fingerprint

Character Theory
Quasigroup
Fusion
Quotient
Character Table
Homomorphic
Theorem
Rectangle
Optimization Problem
Character

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics

Cite this

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Characters of Finite Quasigroups III : Quotients and Fusion. / Johnson, Kenneth; Smith, J. D.H.

In: European Journal of Combinatorics, Vol. 10, No. 1, 01.01.1989, p. 47-56.

Research output: Contribution to journalArticle

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