On the structure of vertex stabilizers of arc-transitive locally quasiprimitive graphs

被引：0

作者：

van Bon, J. ^{[1
]}

机构：

[1] Univ Calabria, Dipartimento Matemat & Informat, I-87036 Arcavacata Di Rende, Italy

来源：

JOURNAL OF ALGEBRAIC COMBINATORICS | 2024年 / 60卷 / 02期

关键词：

Arc-transitive graphs; s-arc transitive graphs; Group amalgams; (G;

D O I：

10.1007/s10801-024-01333-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Delta be a connected arc-transitive G-graph which is locally finite and locally quasiprimitive. Let {x, y} be an edge of Delta. A relation between G(x)([1])/O-p(G(x)([1]))and the existence of certain normal subgroups of G(x )(Delta(x))and G(x,y )(Delta(x))is established. This is then used to determine the vertex stabilizers of a class of 2-arc-transitive graphs with trivial edge kernel

引用

页码：389 / 405

页数：17

共 22 条

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[2]

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