Publication result detail

Hexagonal and Golden Quasigroups

VANŽUROVÁ, A.

Original Title

Hexagonal and Golden Quasigroups

English Title

Hexagonal and Golden Quasigroups

Type

Paper in proceedings (conference paper)

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.

English 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

Key words in English

Magma, quasigroup, medial law, hexagonal quasigroup, golden section quasigroup, finite field

Authors

VANŽUROVÁ, A.

RIV year

2013

Released

07.02.2012

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"
}