Torsion free endotrivial modules for finite groups of Lie type

DOI10.2140/pjm.2022.317.239OpenAlexW3021869355WikidataQ115230546 ScholiaQ115230546MaRDI QIDQ2158172

Daniel K. Nakano, Nadia Mazza, Jesper Grodal, Carlson, Jon F.

Publication date: 26 July 2022

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.00507

zbMATH Keywords

finite groups of Lie typeendotrivial moduleselementary abelian subgroups

Mathematics Subject Classification ID

Modular representations and characters (20C20) Chains and lattices of subgroups, subnormal subgroups (20E15) Representations of finite groups of Lie type (20C33)

Related Items (2)

A tour of \(p\)-permutation modules and related classes of modules ⋮ Representations of finite groups. Abstracts from the workshop held April 16--21, 2023

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Endotrivial modules for the general linear group in a nondefining characteristic.
• Endotrivial modules for finite groups of Lie type \(A\) in nondefining characteristic
• \(p\)-groups with maximal elementary Abelian subgroups of rank 2.
• Sous-groupes commutatifs et torsion des groupes de Lie compacts connexes
• Torsion in reductive groups
• Homotopy properties of the poset of nontrivial p-subgroups of a group
• Semi-simple elements of order 3 in finite Chevalley groups
• The Magma algebra system. I: The user language
• Reduced fusion systems over \(p\)-groups with abelian subgroup of index \(p\). II
• The torsion group of endotrivial modules.
• The classification of \(p\)-compact groups for \(p\) odd
• Chevalley \(p\)-local finite groups
• The automorphism group of an extraspecial \(p\)-group
• The spectrum of an equivariant cohomology ring. I. II
• The Sylow 2-subgroups of the finite classical groups
• A construction of endo-permutation modules
• The classification of 2-compact groups
• The classification of p-compact groups and homotopical group theory
• A Family of Simple Groups Associated with the Simple Lie Algebra of Type (G 2 )
• All 𝑝-local finite groups of rank two for odd prime 𝑝
• The local structure of finite groups of characteristic 2 type
• Finite groups whose 2-subgroups are generated by at most 4 elements
• The homotopy theory of fusion systems
• Almost commuting elements in compact Lie groups
• Endotrivial modules for finite groups via homotopy theory
• Finite Simple Groups: Thirty Years of the Atlas and Beyond
• Endotrivial Modules
• Endotrivial modules for finite groups of Lie type
• Endomorphisms of linear algebraic groups
• A Characterization of the Finite Simple Groups PS_p(4, q), G₂(q), I
• On 2-Groups With No Normal Abelian Subgroups of Rank 3, and Their Occurrence as Sylow 2-Subgroups of Finite Simple Groups

This page was built for publication: Torsion free endotrivial modules for finite groups of Lie type