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A Generalization of a Theorem of Belousov
Author(s) -
Taylor M. A.
Publication year - 1978
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/10.3.285
Subject(s) - nova scotia , citation , generalization , library science , mathematics , mathematical economics , combinatorics , computer science , history , archaeology , mathematical analysis
summary:In a recent paper, those quasigroup identities involving at most three variables and of “length” six which force the quasigroup to be a loop or group have been enumerated by computer. We separate these identities into subsets according to what classes of loops they define and also provide humanly-comprehensible proofs for most of the computer-generated results
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