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

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.

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Bibliographic Details
Published inBeiträge zur Algebra und Geometrie Vol. 63; no. 2; pp. 233 - 246
Main Authors Koshitani, Shigeo, Lassueur, Caroline
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2022
Springer Nature B.V
Subjects
Algebra
Algebraic Geometry
Convex and Discrete Geometry
Geometry
Group theory
Mathematics
Mathematics and Statistics
Modules
Original Paper
Quaternions
Subgroups
20C34
Special linear and unitary groups
20C33
Schur multiplier
20J05
Semi-dihedral 2-groups
Trivial source modules
Endo-trivial modules
permutation modules
Primary 20C20
Secondary 20C25
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Summary: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.
ISSN:0138-4821
2191-0383
DOI:10.1007/s13366-021-00581-4