Finite simple permutation groups acting with fixity 4

被引：0

作者：

Baumeister, Barbara ^{[1
]}

Haehndel, Paula ^{[2
]}

Magaard, Kay ^{[3
]}

Salfeld, Patrick ^{[2
]}

Waldecker, Rebecca ^{[2
]}

机构：

[1] Bielefeld Univ, Dept Math, Bielefeld, Germany

[2] MLU Halle Wittenberg, Dept Math, Halle, Germany

[3] Univ Birmingham, Birmingham, England

来源：

JOURNAL OF GROUP THEORY | 2025年 / 28卷 / 02期

基金：

美国国家科学基金会;

关键词：

SUBGROUPS; ELEMENTS;

D O I：

10.1515/jgth-2023-0045

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Motivated by the theory of Riemann surfaces and specifically the significance of Weierstrass points, we classify all finite simple groups that have a faithful transitive action with fixity 4. We also give details about all possible such actions.

引用

页码：241 / 312

页数：72

共 38 条

[1] ALPERIN JL, 1973, SCRIPTA MATH, V29, P191
[2] [Anonymous], WEBSITE
[3] Baumeister B., 2023, PREPRINT
[4] Baumeister B., 2018, ALBANIAN J MATH, V12, P137
[5] TRANSITIVE GROUP OF EVEN ORDER, WHEREIN EACH INVOLUTION FIXES EXACTLY ONE POINT
BENDER, H
[J]. JOURNAL OF ALGEBRA, 1971, 17 (04) : 527 - &
[6] Bray JN, 2013, LOND MATH S, V407, P1, DOI 10.1017/CBO9781139192576
[7] BUEKENHO.F, 1974, J LOND MATH SOC, V8, P507
[8] BUEKENHOUT F, 1976, J LOND MATH SOC, V14, P487
[9] Carter R. W., 1989, Simple Groups of Lie Type
[10] Conway J. H., 1985, of Finite Groups

← 1 2 3 4 →