Vertex-primitive s-arc-transitive digraphs of alternating and symmetric groups

JOURNAL OF ALGEBRA

卷:544

Article

Pan, Jiangmin¹  Wu, Cixuan¹  Yin, Fugang² 

[1] Yunnan Univ Finance & Econ, Sch Stat & Math, Kunming, Yunnan, Peoples R China

[2] Beijing Jiaotong Univ, Sch Sci, Beijing, Peoples R China

关键词: Upper bound;    s-arc-transitive digraph;    Vertex-primitive;   

DOI  :  10.1016/j.jalgebra.2019.09.032

来源: Elsevier

【 摘 要 】

A fascinating problem on digraphs is the existence problem of the finite upper bound on s for all vertex-primitive s-arc-transitive digraphs except directed cycles (which is known to be reduced to the almost simple groups case). In this paper, we prove that s <= 2 for all vertex-primitive s-arc-transitive digraphs for almost simple groups with socles alternating groups except one case. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

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