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A finite simple group is CCA if and only if it has no element of order four
Luke Morgan, Joy Morris, Gabriel Verret, 2020, original scientific article

Keywords: CCA problem, Cayley graphs, edge-colouring
Published in RUP: 02.12.2020; Views: 1090; Downloads: 35
URL Link to full text

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Digraphs with small automorphism groups that are Cayley on two nonisomorphic groups
Luke Morgan, Joy Morris, Gabriel Verret, 2020, original scientific article

Keywords: Cayley digraphs, Cayley index
Published in RUP: 17.06.2020; Views: 1625; Downloads: 38
.pdf Full text (396,72 KB)

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Coprime subdegrees of twisted wreath permutation groups
Alexander Chua, Michael Giudici, Luke Morgan, 2019, original scientific article

Keywords: primitive group, twisted wreath group, subdegrees
Published in RUP: 01.08.2019; Views: 1577; Downloads: 155
URL Link to full text

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Arc-transitive digraphs of given out-valency and with blocks of given size
Luke Morgan, Primož Potočnik, Gabriel Verret, 2019, original scientific article

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 digraphs
Published in RUP: 28.06.2019; Views: 1645; Downloads: 126
URL Link to full text

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