The \(Z^*\)-theorem for compact Lie groups

DOI10.1007/BF01445193zbMath0758.22006WikidataQ29998958 ScholiaQ29998958MaRDI QIDQ1191421

Guido Mislin, Jacques Thévenaz

Publication date: 27 September 1992

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164852

zbMATH Keywords

compact Lie groupcontrol of fusion\(Z^*\)-theorem\(\text{mod-}p\) cohomology\(p\)-toral subgroupscategories of finite \(p\)-subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Homology and cohomology of Lie groups (57T10) Compact groups (22C05) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) General properties and structure of other Lie groups (22E20)

Related Items

Cohomologically central elements and the \(Z^*\)-theorem for virtually torsion-free groups ⋮ Unnamed Item ⋮ Classifying spaces and homotopy sets of axes of pairings ⋮ Fibrations of Classifying Spaces

Cites Work

• Unnamed Item
• On group homomorphisms inducing mod-\(p\) cohomology isomorphisms
• The Segal conjecture for compact Lie groups
• Sous-groupes commutatifs et torsion des groupes de Lie compacts connexes
• Maps between classifying spaces. II
• Locally finite approximation of Lie groups. II