Abstract
We study G-vertex-primitive and (G,s)-arc-transitive digraphs for almost simple groups G with socle PSL n (q). We prove that s⩽2 for such digraphs, which provides the first step in determining an upper bound on s for all the vertex-primitive s-arc-transitive digraphs.
| Original language | English |
|---|---|
| Journal | Journal of Pure and Applied Algebra |
| DOIs | |
| Publication status | Accepted/In press - 16 Apr 2019 |
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Vertex-primitive s-arc-transitive digraphs of linear groups. / Giudici, Michael; Li, Cai Heng; Xia, Binzhou.
In: Journal of Pure and Applied Algebra, 16.04.2019.Research output: Contribution to journal › Article
TY - JOUR
T1 - Vertex-primitive s-arc-transitive digraphs of linear groups
AU - Giudici, Michael
AU - Li, Cai Heng
AU - Xia, Binzhou
PY - 2019/4/16
Y1 - 2019/4/16
N2 - We study G-vertex-primitive and (G,s)-arc-transitive digraphs for almost simple groups G with socle PSL n (q). We prove that s⩽2 for such digraphs, which provides the first step in determining an upper bound on s for all the vertex-primitive s-arc-transitive digraphs.
AB - We study G-vertex-primitive and (G,s)-arc-transitive digraphs for almost simple groups G with socle PSL n (q). We prove that s⩽2 for such digraphs, which provides the first step in determining an upper bound on s for all the vertex-primitive s-arc-transitive digraphs.
KW - Digraphs
KW - Linear groups
KW - s-arc-transitive
KW - Vertex-primitive
UR - http://www.scopus.com/inward/record.url?scp=85064321866&partnerID=8YFLogxK
U2 - 10.1016/j.jpaa.2019.04.009
DO - 10.1016/j.jpaa.2019.04.009
M3 - Article
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
SN - 0022-4049
ER -