Graphs encoding the generating properties of a finite group

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Campo DC	Valor	Idioma
dc.contributor.author	Acciarri, Cristina	-
dc.contributor.author	Lucchini, Andrea	-
dc.date.accessioned	2020-05-26T16:39:46Z	-
dc.date.available	2020-05-26T16:39:46Z	-
dc.date.issued	2020	-
dc.identifier.citation	ACCIARRI, Cristina; LUCCHINI, Andrea. Graphs encoding the generating properties of a finite group. Mathematische Nachrichten, 2020.	pt_BR
dc.identifier.uri	https://repositorio.unb.br/handle/10482/37871	-
dc.language.iso	Inglês	pt_BR
dc.rights	Acesso Aberto	pt_BR
dc.title	Graphs encoding the generating properties of a finite group	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Grupos finitos	pt_BR
dc.subject.keyword	Gráficos	pt_BR
dc.description.abstract1	Assume that G is a finite group. For every a, b ∈ N, we define a graph Γa,b(G) whose vertices correspond to the elements of G a ∪ G b and in which two tuples (x1, . . . , xa) and (y1, . . . , yb) are adjacent if and only if hx1, . . . , xa, y1, . . . , ybi = G. We study several properties of these graphs (isolated vertices, loops, connectivity, diameter of the connected components) and we investigate the relations between their properties and the group structure, with the aim of understanding which information about G is encoded by these graphs.	pt_BR
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