The essential \(2\)-rank for classical groups

DOI10.1007/s10114-024-1494-xzbMath1548.20083MaRDI QIDQ6607098

Jianbei An, Yong Xu

Publication date: 18 September 2024

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

symplectic groupsorthogonal groupsFrobenius categoryconjugation familiesessential \(2\)-rank

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representations of finite groups of Lie type (20C33)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The essential rank of classical groups.
• Controlled blocks of the finite quasisimple groups for odd primes.
• Simple connectivity of \(p\)-group complexes
• The AWC-goodness and essential rank of sporadic simple groups.
• Fusion systems containing pearls
• Weights for symmetric and general linear groups
• Local methods in block theory
• 2-weights for general linear groups
• Local control in fusion systems of \(p\)-blocks of finite groups.
• Controlled 2-blocks of quasisimple groups
• \textit{ZJ}-controlled blocks of quasisimple groups for odd primes
• The essential 2-rank of general linear and unitary groups
• Fusion systems on \(p\)-groups of sectional rank 3
• Frobenius categories.
• Sylow intersections and fusion
• A conjugation family for finite groups
• The Sylow 2-subgroups of the finite classical groups
• THE ESSENTIAL RANK OF FUSION SYSTEMS OF BLOCKS OF SYMMETRIC GROUPS
• Recognizing SL2(q) in fusion systems
• 2-Weights for Unitary Groups
• 2-weigths for classical groups.
• Weights for Classical Groups
• Finite groups and fusion systems

This page was built for publication: The essential \(2\)-rank for classical groups