南方科技大学知识苑(SUSTech KC): A classification of finite locally 2-transitive generalized quadrangles

题名	A classification of finite locally 2-transitive generalized quadrangles
作者	Bamberg，John 1; Li，Cai Heng2 ; Swartz，Eric 3
发表日期	2021-03-01
DOI	10.1090/tran/8236
发表期刊	TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 影响因子和分区
ISSN	0002-9947
EISSN	1088-6850
卷号	374 期号:3页码:1935-1978
摘要	Ostrom and Wagner (1959) proved that if the automorphism group G of a finite projective plane π acts 2-transitively on the points of π, then π is isomorphic to the Desarguesian projective plane and G is isomorphic to PΓL(3, q) (for some prime-power q). In the more general case of a finite rank 2 irreducible spherical building, also known as a generalized polygon, the theorem of Fong and Seitz (1973) gave a classification of the Moufang examples. A conjecture of Kantor, made in print in 1991, says that there are only two non-classical examples of flag-transitive generalized quadrangles up to duality. Recently, the authors made progress toward this conjecture by classifying those finite generalized quadrangles which have an automorphism group G acting transitively on antiflags. In this paper, we take this classification much further by weakening the hypothesis to G being transitive on ordered pairs of collinear points and ordered pairs of concurrent lines.
相关链接	[Scopus记录]
收录类别	SCI
语种	英语
学校署名	其他
资助项目	Australian Research Council[DP120101336] ; NSFC[11231008,11771200]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000621036100002
出版者	AMER MATHEMATICAL SOC
ESI学科分类	MATHEMATICS
Scopus记录号	2-s2.0-85101580175
来源库	Scopus
引用统计	被引频次[WOS]：1
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/221599
专题	理学院_数学系深圳国际数学中心（杰曼诺夫数学中心）（筹）
作者单位	1.Centre for the Mathematics of Symmetry and Computation,School of Mathematics and Statistics,University of Western Australia,Crawley,35 Stirling Highway,6009,Australia 2.SUSTech International Center for Mathematics,Department of Mathematics,Southern University of Science and Technology,Shenzhen, Guangdong,518055,China 3.Department of Mathematics,College of William and Mary,Williamsburg,23187,United States
推荐引用方式 GB/T 7714	Bamberg，John,Li，Cai Heng,Swartz，Eric. A classification of finite locally 2-transitive generalized quadrangles[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,2021,374(3):1935-1978.
APA	Bamberg，John,Li，Cai Heng,&Swartz，Eric.(2021).A classification of finite locally 2-transitive generalized quadrangles.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,374(3),1935-1978.
MLA	Bamberg，John,et al."A classification of finite locally 2-transitive generalized quadrangles".TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 374.3(2021):1935-1978.