Variety of loops generated by code loops-Reference-Cited by-同舟云学术

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Variety of loops generated by code loops

Published:2018-02 Issue:01 Volume:28 Page:163-177
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

Grishkov Alexander¹²,Miguel Pires Rosemary³

Affiliation:

1. Departamento de Matemática, Universidade de São Paulo, Caixa Postal 66281, São Paulo, São Paulo 05311-970, Brazil

2. Omsk State University n.a.F.M.Dostoevskii, pr.Mira 55-A, Omsk 644077, Russia

3. Departamento de Matemática, Instituto de Ciências Exatas, Universidade Federal Fluminense, Volta Redonda, Rio de Janeiro 27213-145, Brazil

Abstract

In this work, we construct free infinitely generated Moufang loop in the variety generated by code loops and find the minimal set of identities that define this variety. We apply this construction to the study of code loops.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021819671850008X

Reference10 articles.

1. Sporadic Groups

2. Extensions of abelian 2-groups byL 2(q) under irreducible action

3. Moufang loops with a unique nonidentity commutator (associator, square)

4. A simple construction for the Fischer-Griess monster group

5. Code loops

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