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

[31] FINITE SIMPLE GROUPS WITH TWO MAXIMAL SUBGROUPS OF COPRIME ORDERS
Maslova, N., V
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2023, 20 (02): : 1150 - 1159
[32] Characterization of Some Finite Simple Groups by the Set of Orders of Vanishing Elements and Order
S. Askary
Ukrainian Mathematical Journal, 2022, 73 : 1663 - 1673
[33] ON FINITE SIMPLE GROUPS OF p-LOCAL RANK TWO
Wang, Baoshan
PACIFIC JOURNAL OF MATHEMATICS, 2009, 243 (02) : 375 - 398
[34] CHARACTERIZATION OF SOME FINITE SIMPLE GROUPS BY THE SET OF ORDERS OF VANISHING ELEMENTS AND ORDER
Askary, S.
UKRAINIAN MATHEMATICAL JOURNAL, 2022, 73 (11) : 1663 - 1673
[35] On finite simple groups acting on integer and mod 2 homology 3-spheres
Mecchia, M
Zimmermann, B
JOURNAL OF ALGEBRA, 2006, 298 (02) : 460 - 467
[36] Algebras of Symmetry Operators of the Klein–Gordon–Fock Equation for Groups Acting Transitively on Two-Dimensional Subspaces of a Space-Time Manifold
V. V. Obukhov
K. R. Myrzakulov
U. A. Guselnikova
A. Zhadyranova
Russian Physics Journal, 2021, 64 : 1320 - 1327
[37] On Some Finite 2-Groups in which the Derived Group Has Two Generators
Benjamin, Elliot
Snyder, Chip
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2023, 73 (01) : 71 - 100
[38] On some finite 2-groups in which the derived group has two generators
Elliot Benjamin
Chip Snyder
Czechoslovak Mathematical Journal, 2023, 73 : 71 - 100
[39] ALMOST SIMPLE GROUPS WITH SOCLE G2(q) ACTING ON FINITE LINEAR SPACES
Li, S.
Li, X.
Liu, W.
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2015, 41 (03) : 591 - 602
[40] On finite simple groups with the set of element orders as in a Frobenius group or a double Frobenius group
Aleeva, MR
MATHEMATICAL NOTES, 2003, 73 (3-4) : 299 - 313

← 1 2 3 4 5 →