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Publication detail
VANŽUROVÁ, A.
Original Title
Hexagonal and Golden Quasigroups
Type
conference paper
Language
English
Original Abstract
Our aim is to investigate two subvarieties in the variety of idempotent medial quasigroups, namely hexagonal quasigroups and golden section quasigroups. For both classes, we present here a construction of special finite examples of low order, particularly those arising from an additive group of a finite field and a suitable left translation (with respect to multiplication). As useful tools, we use the concept of isotopism and a modified version of the Toyoda theorem.
Keywords
Magma, quasigroup, medial law, hexagonal quasigroup, golden section quasigroup, finite field
Authors
RIV year
2012
Released
7. 2. 2012
Publisher
Slovak University of Technology in Bratislava
Location
Bratislava
ISBN
978-80-89313-58-7
Book
Aplimat 2012, 11th International Conference, February 7-9, 2012
Pages from
71
Pages to
79
Pages count
9
BibTex
@inproceedings{BUT97634, author="Alena {Vanžurová}", title="Hexagonal and Golden Quasigroups", booktitle="Aplimat 2012, 11th International Conference, February 7-9, 2012", year="2012", pages="71--79", publisher="Slovak University of Technology in Bratislava", address="Bratislava", isbn="978-80-89313-58-7" }