Trivial source endo-trivial modules for finite groups with semi-dihedral Sylow 2-subgroups

被引：0

作者：

Shigeo Koshitani

Caroline Lassueur

机构：

[1] Chiba University,Center for Frontier Science

[2] FB Mathematik,undefined

[3] TU Kaiserslautern,undefined

来源：

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry | 2022年 / 63卷

关键词：

Endo-trivial modules; Semi-dihedral 2-groups; Schur multiplier; Trivial source modules; -permutation modules; Special linear and unitary groups; Primary 20C20; Secondary 20C25; 20C33; 20C34; 20J05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We finish off the classification of the endo-trivial modules of finite groups with Sylow 2-subgroups isomorphic to a semi-dihedral 2-group started by Carlson, Mazza and Thévenaz in their article Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup published in 2013.

引用

页码：233 / 246

页数：13

共 5 条

[1] Trivial source endo-trivial modules for finite groups with semi-dihedral Sylow 2-subgroups
Koshitani, Shigeo
Lassueur, Caroline
BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY, 2022, 63 (02): : 233 - 246
[2] Endo-trivial modules for finite groups with dihedral Sylow 2-subgroup
Koshitani, Shigeo
Lassueur, Caroline
JOURNAL OF GROUP THEORY, 2016, 19 (04) : 635 - 660
[3] Endo-trivial modules for finite groups with Klein-four Sy low 2-subgroups
Koshitani, Shigeo
Lassueur, Caroline
MANUSCRIPTA MATHEMATICA, 2015, 148 (1-2) : 265 - 282
[4] Modular representations of finite groups with trivial restriction to Sylow subgroups
Balmer, Paul
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2013, 15 (06) : 2061 - 2079
[5] Universal deformation rings, endo-trivial modules, and semidihedral and generalized quaternion 2-groups
Bleher, Frauke M.
Chinburg, Ted
Soto, Roberto C.
JOURNAL OF PURE AND APPLIED ALGEBRA, 2019, 223 (05) : 1897 - 1912

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