On edge-primitive 3-arc-transitive graphs

Michael Giudici; Carlisle S.H. King

doi:10.1016/j.jctb.2021.06.012

On edge-primitive 3-arc-transitive graphs

Michael Giudici, Carlisle S.H. King

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

This paper begins the classification of all edge-primitive 3-arc-transitive graphs by classifying all such graphs where the automorphism group is an almost simple group with socle an alternating or sporadic group, and all such graphs where the automorphism group is an almost simple classical group with a vertex-stabiliser acting faithfully on the set of neighbours.

Original language	English
Pages (from-to)	282-306
Number of pages	25
Journal	Journal of Combinatorial Theory. Series B
Volume	151
DOIs	https://doi.org/10.1016/j.jctb.2021.06.012
Publication status	Published - Nov 2021

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10.1016/j.jctb.2021.06.012

https://arxiv.org/abs/1910.06600v4Licence: CC BY-NC-ND

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title = "On edge-primitive 3-arc-transitive graphs",

abstract = "This paper begins the classification of all edge-primitive 3-arc-transitive graphs by classifying all such graphs where the automorphism group is an almost simple group with socle an alternating or sporadic group, and all such graphs where the automorphism group is an almost simple classical group with a vertex-stabiliser acting faithfully on the set of neighbours.",

keywords = "3-arc-transitive, Alternating group, Edge-primitive, Sporadic group",

author = "Michael Giudici and King, {Carlisle S.H.}",

year = "2021",

month = nov,

doi = "10.1016/j.jctb.2021.06.012",

language = "English",

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AU - Giudici, Michael

AU - King, Carlisle S.H.

PY - 2021/11

Y1 - 2021/11

N2 - This paper begins the classification of all edge-primitive 3-arc-transitive graphs by classifying all such graphs where the automorphism group is an almost simple group with socle an alternating or sporadic group, and all such graphs where the automorphism group is an almost simple classical group with a vertex-stabiliser acting faithfully on the set of neighbours.

AB - This paper begins the classification of all edge-primitive 3-arc-transitive graphs by classifying all such graphs where the automorphism group is an almost simple group with socle an alternating or sporadic group, and all such graphs where the automorphism group is an almost simple classical group with a vertex-stabiliser acting faithfully on the set of neighbours.

KW - 3-arc-transitive

KW - Alternating group

KW - Edge-primitive

KW - Sporadic group

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DO - 10.1016/j.jctb.2021.06.012

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VL - 151

SP - 282

EP - 306

JO - Journal of Combinatorial Theory. Series B

JF - Journal of Combinatorial Theory. Series B

ER -

On edge-primitive 3-arc-transitive graphs

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Symmetries of finite digraphs

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On edge-primitive 3-arc-transitive graphs

Abstract

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Symmetries of finite digraphs

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