The Geometry of Point Reflections and Quasigroups

The Geometry of Point Reflections and Quasigroups

This is a survey of results from the rich theory of medial and more general quasigroups and its close connection with the geometry of point-reflections. The emphasis is on questions regarding the simplest axiomatization, in the sense of the minimal number of variables appearing in the identtties, on...

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Veröffentlicht in:Resultate der Mathematik 2020-12, Vol.75 (4), Article 132
Hauptverfasser: Movsisyan, Yuri, Pambuccian, Victor
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Special issue in memory of Heinrich Wefelscheid
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Beschreibung
Zusammenfassung:This is a survey of results from the rich theory of medial and more general quasigroups and its close connection with the geometry of point-reflections. The emphasis is on questions regarding the simplest axiomatization, in the sense of the minimal number of variables appearing in the identtties, on dependence or independence of axioms, and on representation theorems in the style of Toyoda.
ISSN:1422-6383
1420-9012
DOI:10.1007/s00025-020-01264-7