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	Primitive permutation groups with a solvable 2-transitive subconstituent
	Wang, Jie
	2013
关键词	Primitive groups 2-transitive subconstituent Almost simple groups Affine groups Solvable maximal subgroups MAXIMAL-SUBGROUPS AUTOMORPHISM-GROUPS EXCEPTIONAL GROUPS TRANSITIVE GRAPHS SUB-CONSTITUENTS LIE TYPE FINITE REPRESENTATIONS ODD
英文摘要	For a permutation group G acting on a finite set Omega and a point alpha is an element of Omega, a suborbit Delta(alpha) is an orbit of the point stabilizer G(alpha) on Omega. The permutation group induced by G(alpha) on Delta(alpha) is called a subconstituent of G. Moreover, G is said to be uniprimitive if G is primitive but not 2-transitive. In this paper we investigate uniprimitive permutation groups which have a solvable 2-transitive subconstituent. We determine all such groups G which have a simple socle. The affine case, that is G has an elementary abelian socle, are also discussed and an infinite family of affine primitive groups with non-self-paired 2-transitive subconstituents are presented. (C) 2013 Elsevier Inc. All rights reserved.; Mathematics; SCI(E); 0; ARTICLE; 190-208; 386
语种	英语
出处	SCI
出版者	journal of algebra
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157471]
专题	数学科学学院
推荐引用方式 GB/T 7714	Wang, Jie. Primitive permutation groups with a solvable 2-transitive subconstituent. 2013-01-01.

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