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dc.contributor.authorAcciarri, Cristina-
dc.contributor.authorLucchini, Andrea-
dc.date.accessioned2020-05-26T16:39:46Z-
dc.date.available2020-05-26T16:39:46Z-
dc.date.issued2020-
dc.identifier.citationACCIARRI, Cristina; LUCCHINI, Andrea. Graphs encoding the generating properties of a finite group. Mathematische Nachrichten, 2020.pt_BR
dc.identifier.urihttps://repositorio.unb.br/handle/10482/37871-
dc.language.isoInglêspt_BR
dc.rightsAcesso Abertopt_BR
dc.titleGraphs encoding the generating properties of a finite grouppt_BR
dc.typeArtigopt_BR
dc.subject.keywordGrupos finitospt_BR
dc.subject.keywordGráficospt_BR
dc.description.abstract1Assume 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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