Trivial-source endotrivial modules for sporadic groups

DOI10.1007/S13366-020-00521-8zbMath1480.20044arXiv2006.02740OpenAlexW3066124450MaRDI QIDQ2028004

David A. Craven

Publication date: 31 May 2021

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.02740

zbMATH Keywords

sporadic groupsrepresentation theoryendotrivial moduletrivial-source module

Mathematics Subject Classification ID

Modular representations and characters (20C20) Representations of sporadic groups (20C34)

Related Items (3)

Endotrivial modules for finite groups via homotopy theory ⋮ Trivial source endo-trivial modules for finite groups with semi-dihedral Sylow 2-subgroups ⋮ A tour of \(p\)-permutation modules and related classes of modules

Uses Software

• GAP
• Magma
• ATLAS Group Representations

Cites Work

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• Simple endotrivial modules for quasi-simple groups
• Modular representations of finite groups with trivial restriction to Sylow subgroups.
• The classification of endo-trivial modules.
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• Endo-permutation modules over p-groups. I
• The McKay conjecture is true for the sporadic simple groups
• The Magma algebra system. I: The user language
• Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup.
• Endotrivial modules for the sporadic simple groups and their covers.
• Endotrivial modules in the cyclic case.
• The classification of torsion endo-trivial modules.
• Simple endotrivial modules for linear, unitary and exceptional groups.
• Sylow intersections and fusion
• A construction of endo-permutation modules
• The group of endotrivial modules for the symmetric and alternating groups
• Endotrivial modules for the symmetric and alternating groups
• The Local Subgroups of the Fischer Groups
• The 5-modular characters of the covering group f_I22The sporadic simple fischer group fi₂₂and its automorphism group^*
• Endotrivial modules for finite groups of Lie type

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