Symmetric invariants and cohomology of groups

DOI10.1007/BF01446902zbMath0681.55013OpenAlexW1996621404MaRDI QIDQ1823509

John S. Maginnis, Adem, Alejandro, R. James Milgram

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/164694

zbMATH Keywords

invariant theoryinfinite loop space theoryaction of the Steenrod Algebraclassifying space for transversality phenomenacohomology of alternating groupscohomology of elementary abelian subgroupsdouble covers of the symmetric groupsmultiplicative structure of the mod 2 cohomology of the finite symmetric groups

Mathematics Subject Classification ID

Cohomology of groups (20J06) Steenrod algebra (55S10) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) General position and transversality (57N75) General position and transversality (57Q65)

Related Items

Cohomology of unipotent algebraic and finite groups and the Steenrod algebra ⋮ Mod-two cohomology rings of alternating groups ⋮ Dickson invariants and a new description of \(H^{*}(Q_{0}S^{0},{\mathbb{Z}}/p{\mathbb{Z}})\) via \(H^{*}(B\Sigma _{\infty }, {\mathbb{Z}} / p {\mathbb{Z}})\) ⋮ Modular characteristic classes for representations over finite fields ⋮ Vanishing of categorical obstructions for permutation orbifolds ⋮ The geometry and cohomology of the Mathieu group \(M_{12}\) ⋮ Modular coinvariants and the modphomology ofQS^k ⋮ Dissipative decomposition of partial differential equations ⋮ The cohomology of the Lyons group and double covers of alternating groups

Cites Work

• Unnamed Item
• Homology of the infinite symmetric group
• The geometry and cohomology of the Mathieu group \(M_{12}\)
• The mod 2 spherical characteristic classes
• Cohomology of finite groups and elementary abelian subgroups
• On the homology of non-connected monoids and their associated groups
• The Cohomology Ring of a Finite Group
• The cohomology of subgroups of 𝐺𝐿_{𝑛}(𝐹_{𝑞})
• Semicharacteristics, Bordism, and Free Group Actions
• Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92)
• Homology of Iterated Loop Spaces