Global structure of the mod two symmetric algebra, \(H^\ast(BO;\mathbb F_2)\) over the Steenrod Algebra

DOI10.2140/agt.2003.3.1119zbMath1057.55004arXivmath/0312220OpenAlexW1969596424MaRDI QIDQ1880608

Frank Williams, David J. Pengelley

Publication date: 30 September 2004

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0312220

zbMATH Keywords

Steenrod algebraunstable algebrasymmetric algebraDickson algebrareal projective space\(BO\)

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Actions of groups on commutative rings; invariant theory (13A50) Graded rings and modules (associative rings and algebras) (16W50) Steenrod algebra (55S10) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Homology and homotopy of (Bmathrm{O}) and (Bmathrm{U}); Bott periodicity (55R45) Primary cohomology operations in algebraic topology (55S05)

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Mod-two cohomology rings of alternating groups ⋮ On Peterson's open problem and representations of the general linear groups ⋮ On gapped boundaries for SPT phases beyond group cohomology ⋮ The Dyer-Lashof algebra and the hit problems

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