GRAPHS WITH AUTOMORPHISM GROUPS ADMITTING COMPOSITION FACTORS OF BOUNDED RANK

被引：16

作者：

Praeger, Cheryl E. ^{[1
]}

Pyber, Laszlo ^{[2
]}

Spiga, Pablo ^{[1
]}

Szabo, Endre ^{[2
]}

机构：

[1] Univ Western Australia, Sch Math & Stat, Ctr Math Symmetry & Computat, Crawley, WA 6009, Australia

[2] Hungarian Acad Sci, Renyi Inst Math, H-1364 Budapest, Hungary

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2012年 / 140卷 / 07期

关键词：

Weiss conjecture; normal quotients; quasiprimitive groups; almost simple groups; SYMMETRIC GRAPHS; CONJECTURE; ORDERS;

D O I：

10.1090/S0002-9939-2011-11100-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a 1978 conjecture of Richard Weiss in the case of groups with composition factors of bounded rank. Namely, we prove that there exists a function g : N x N -> N such that, for Gamma a connected G-vertex-transitive, G-locally primitive graph of valency at most d, if G has no alternating groups of degree greater than r as sections, then a vertex stabiliser in G has size at most g(r, d).

引用

页码：2307 / 2318

页数：12

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