The homotopy type of BG 2 Λ for some small matrix groups G

DOI10.1515/FORUM.2006.010zbMath1090.55005MaRDI QIDQ3378374

Aleš Vavpetič

Publication date: 30 March 2006

Published in: Forum Mathematicum (Search for Journal in Brave)

zbMATH Keywords

matrix groups over finite fields\(p\)-complete classifiying spacesBockstein differentialshomotopy type of classifying spaces

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Maps between classifying spaces in algebraic topology (55R37)

Cites Work

• Classification of \(BG\) for groups with dihedral or quaternion Sylow 2- subgroups
• Homotopy decomposition of classifying spaces via elementary Abelian subgroups
• A cohomology decomposition theorem
• On function spaces whose source is the classifying space of an elementary abelian \(p\)-group
• Integral cohomology of classical groups over a finite field
• Homotopy uniqueness of classifying spaces of compact connected Lie groups at primes dividing the order of the Weyl group
• Homotopy equivalences of \(p\)-completed classifying spaces of finite groups
• The Sylow 2-subgroups of the finite classical groups
• On The Homotopy Type of 𝐵𝐺 for Certain Finite 2-Groups 𝐺
• Loop structures on homotopy fibers of self maps of spheres
• Diagrammatic methods for modular representations and cohomology
• On spaces of self-homotopy equivalences of \(p\)-completed classifying spaces of finite groups and homotopy group extensions.

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