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

共 50 条

[1] On elation Laguerre planes with a two-transitive orbit on the set of generators
Steinke, Gunter F.
Stroppel, Markus J.
FINITE FIELDS AND THEIR APPLICATIONS, 2018, 53 : 64 - 84
[2] On the number of generators of groups acting arc-transitively on graphs
Barbieri, Marco
Spiga, Pablo
AUSTRALASIAN JOURNAL OF COMBINATORICS, 2024, 90 : 187 - 198
[3] Finite groups acting 2-transitively on their sylow subgroups
Caiheng Li
Jie Wang
Acta Mathematica Sinica, 1999, 15 : 131 - 144
[4] Finite Groups Acting 2-Transitively on Their Sylow Subgroups
Caiheng LiDepartment of Mathematics
Acta Mathematica Sinica(English Series), 1999, 15 (01) : 131 - 144
[5] Finite groups acting 2-transitively on their Sylow subgroups
Li, CH
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 1999, 15 (01): : 131 - 144
[6] On 4-dimensional elation Laguerre planes admitting simple Lie groups of automorphisms
Steinke, GF
FORUM MATHEMATICUM, 1999, 11 (01) : 79 - 103
[7] On finite simple groups acting on homology spheres
Alessandra Guazzi
Bruno Zimmermann
Monatshefte für Mathematik, 2013, 169 : 371 - 381
[8] On finite simple groups acting on homology spheres
Guazzi, Alessandra
Zimmermann, Bruno
MONATSHEFTE FUR MATHEMATIK, 2013, 169 (3-4): : 371 - 381
[9] Smooth Plane Curves with Freely Acting Finite Groups
Taro Hayashi
Vietnam Journal of Mathematics, 2021, 49 : 1027 - 1036
[10] Smooth Plane Curves with Freely Acting Finite Groups
Hayashi, Taro
VIETNAM JOURNAL OF MATHEMATICS, 2021, 49 (04) : 1027 - 1036

← 1 2 3 4 5 →