Cyclic extensions of finite simple groups

Autor(es)

Gagola, III, Stephen M. ; Grishkov, Alexander N.

• Tipo de documento: Artigo Científico
• Fonte: Journal of Group Theory; v. 20, n. 3, p. 561-571, MAY 2017.
• Citações Web of Science: 0

Resumo

Here cyclic extensions, not necessarily split, of simple groups are looked at. It is shown that if N is a finite simple group that is either an abelian group, an alternating group, a Suzuki group, a projective special linear group or a sporadic simple group and G = < N; u > is a cyclic extension of N resulting in a Moufang loop, then < N; u(2) > is a group. Moreover, if G is nonassociative, then G is a generalization of the Chein loop where u inverts all of the elements of N (AU)

• Processo FAPESP: 13/01717-6 - Generalizações dos grupos e estruturas não associativas
• Beneficiário: Alexandre Grichkov
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional