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Moufang loops with nonnormal commutative centre

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Autor(es):
Grishkov, Alexander N. ; Zavarnitsine, Andrei, V
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY; v. 170, n. 3, p. 6-pg., 2021-05-01.
Resumo

We construct two infinite series of Moufang loops of exponent 3 whose commutative centre (i. e. the set of elements that commute with all elements of the loop) is not a normal subloop. In particular, we obtain examples of such loops of orders 3(8) and 3(11) one of which can be defined as the Moufang triplication of the free Burnside group B(3, 3). (AU)

Processo FAPESP: 17/14489-2 - Loops de Moufang e os grupos relacionados
Beneficiário:Alexandre Grichkov
Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional