Keywords: group, graph, locally 2-arc transitive graphs, quasiprimitive, twisted wreath productsPublished in RUP: 24.06.2021; Views: 1027; Downloads: 11 Link to full text
Keywords: CCA problem, Cayley graphs, edge-colouringPublished in RUP: 02.12.2020; Views: 1090; Downloads: 35 Link to full text
Keywords: permutation groups, base size, minimal degreePublished in RUP: 02.12.2020; Views: 1165; Downloads: 35 Link to full text
Keywords: Cayley digraphs, Cayley indexPublished in RUP: 17.06.2020; Views: 1625; Downloads: 38 Full text (396,72 KB)
Keywords: p-groups, exterior square, G_[sub]2(q), ▫$p$▫-groups, exterior square, ▫$G_2(q)$▫Published in RUP: 20.05.2020; Views: 1476; Downloads: 57 Link to full text
Keywords: primitive group, twisted wreath group, subdegreesPublished in RUP: 01.08.2019; Views: 1577; Downloads: 155 Link to full text
Keywords: permutation groups, quasiprimitive groups, generationsemiprimitive groupsPublished in RUP: 01.08.2019; Views: 1445; Downloads: 158 Link to full text
Keywords: p-groups, linear groups, automorphism groupsPublished in RUP: 30.07.2019; Views: 1630; Downloads: 167 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: 1645; Downloads: 126 Link to full text
Keywords: locally-restrictive, locally-transitive graph, semiprimitive, group amalgamsPublished in RUP: 03.04.2017; Views: 2412; Downloads: 139 Link to full text