Simple groups acting two-transitively on the set of generators of a finite elation Laguerre plane

被引：1

作者：

Steinke, Gunter F. ^{[1
]}

Stroppel, Markus J. ^{[2
]}

机构：

[1] Univ Canterbury, Dept Math & Stat, Private Bag 4800, Christchurch 8140, New Zealand

[2] Univ Stuttgart, LExMath Fak Math & Phys, D-70550 Stuttgart, Germany

来源：

BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY | 2015年 / 56卷 / 01期

关键词：

Laguerre plane; Elation group; Two-transitive group; Socle; Simple group of Lie type; Unitary group; Ree group;

D O I：

10.1007/s13366-013-0169-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that finite elation Laguerre planes with a group of automorphisms acting two-transitively on the set of generators are Miquelian. In this paper we discuss in detail three series of groups of (twisted) Lie type that may possibly occur as socles of the two-transitive group induced on the set of generators; all other cases have been treated in a separate paper.

引用

页码：285 / 298

页数：14

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