Connected finite loop spaces with maximal tori

DOI10.1090/S0002-9947-98-02247-8zbMath0912.55004OpenAlexW1762195159MaRDI QIDQ4211108

Dietrich Notbohm, Jesper Michael Møller

Publication date: 10 September 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-98-02247-8

zbMATH Keywords

coveringWeyl groupclassifying spacenormalizer\(p\)-compact groupmaximal torusfinite loop space

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Loop spaces (55P35)

Related Items

Finite loop spaces are manifolds., Chevalley \(p\)-local finite groups, On the mod 𝑝 cohomology of 𝐵𝑃𝑈(𝑝), The classification of 2-compact groups, A theorem of Tits, normalizers of maximal tori and fibrewise Bousfield-Kan completions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fake Lie groups and maximal tori. I
• On phantom maps and a theorem of H. Miller
• Fake Lie groups with maximal tori. IV
• On function spaces whose source is the classifying space of an elementary abelian \(p\)-group
• Rational maximal tori
• Homotopy uniqueness of classifying spaces of compact connected Lie groups at primes dividing the order of the Weyl group
• Homotopy classification of spaces with interesting cohomology and a conjecture of Cooke. I
• Kernels of maps between classifying spaces
• Rational isomorphisms of \(p\)-compact groups
• Homotopy limits, completions and localizations
• Two Results on the 2-Local EHP Spectral Sequence
• On the ‘Classifying Space’ Functor for Compact Lie Groups
• The Homology Products in K(II, n)
• Maps between classifying spaces