Abelian-by-Cyclic Moufang Loops

Autor(es)

Grishkov, Alexander N. ^[1] ; Zavarnitsine, Andrei V. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Math & Stat, Sao Paulo - Brazil

^[2] Sobolev Inst Math, Novosibirsk - Russia

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS IN ALGEBRA; v. 41, n. 6, p. 2242-2253, MAY 21 2013.
• Citações Web of Science: 3

Resumo

We use groups with triality to construct a series of nonassociative Moufang loops. Certain members of this series contain an abelian normal subloop with the corresponding quotient being a cyclic group. In particular, we give a new series of examples of finite abelian-by-cyclic Moufang loops. The previously known {[}<xref rid={''}CIT0010{''} ref-type={''}bibr{''}>10</xref>] loops of this type of odd order 3q(3), with prime q1(mod3), are particular cases of our series. Some of the examples are shown to be embeddable into a Cayley algebra. (AU)

• Processo FAPESP: 10/51793-2 - Andrei Zavarnitsine | Sobolev Instituto de Matemática de Novosibirsk - Rússia
• Beneficiário: Alexandre Grichkov
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional