Keywords: group, graph, locally 2-arc transitive graphs, quasiprimitive, twisted wreath productsPublished in RUP: 24.06.2021; Views: 1253; Downloads: 12 Link to full text
Keywords: CCA problem, Cayley graphs, edge-colouringPublished in RUP: 01.12.2020; Views: 1371; Downloads: 36 Link to full text
Keywords: permutation groups, base size, minimal degreePublished in RUP: 01.12.2020; Views: 1433; Downloads: 36 Link to full text
Keywords: Cayley digraphs, Cayley indexPublished in RUP: 16.06.2020; Views: 1904; Downloads: 39 Full text (396,72 KB)
Keywords: p-groups, exterior square, G_[sub]2(q), ▫$p$▫-groups, exterior square, ▫$G_2(q)$▫Published in RUP: 19.05.2020; Views: 1679; Downloads: 59 Link to full text
Keywords: primitive group, twisted wreath group, subdegreesPublished in RUP: 31.07.2019; Views: 1859; Downloads: 157 Link to full text
Keywords: permutation groups, quasiprimitive groups, generationsemiprimitive groupsPublished in RUP: 31.07.2019; Views: 1707; Downloads: 160 Link to full text
Keywords: p-groups, linear groups, automorphism groupsPublished in RUP: 29.07.2019; Views: 1876; Downloads: 168 Link to full text
Abstract: Given integers ▫$k$▫ and ▫$m$▫, we construct a ▫$G$▫-arc-transitive graph of valency ▫$k$▫ and an ▫$L$▫-arc-transitive oriented digraph of out-valency ▫$k$▫ such that ▫$G$▫ and ▫$L$▫ both admit blocks of imprimitivity of size ▫$m$▫.Keywords: arc-transitive digraphs, Cayley digraphs, imprimitive digraphsPublished in RUP: 28.06.2019; Views: 1899; Downloads: 127 Link to full text
Keywords: locally-restrictive, locally-transitive graph, semiprimitive, group amalgamsPublished in RUP: 02.04.2017; Views: 2745; Downloads: 140 Link to full text