Symmetric Product Spectra and Splittings of Classifying Spaces

DOI10.2307/2374436zbMath0551.55005OpenAlexW2025403410MaRDI QIDQ3344842

Stephen A. Mitchell, Stewart B. Priddy

Publication date: 1984

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374436

zbMATH Keywords

classifying spacedihedral groupsymmetric groupquaternion group2-local stable decompositionO(2)stable homotopy decomposition

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Stable homotopy theory, spectra (55P42)

Related Items (15)

The Whitehead conjecture and splitting 𝐵(𝐙/2)^{𝐤} ⋮ Localizations of unstable \(A\)-modules and equivariant mod \(p\) cohomology ⋮ ON THE SYMMETRIC SQUARES OF COMPLEX AND QUATERNIONIC PROJECTIVE SPACE ⋮ Classifying spaces and properties of finite groups ⋮ Stable splittings of \(BP\) for some \(P\) of order thirty-two ⋮ Stable splittings of classifying spaces of metacyclic 2-groups ⋮ On the Hurewicz image of the Steinberg summand \(M(n)\) ⋮ Unstable homotopy classification of ⋮ Stable splittings of $\textup {BO}(2n)$ and $\textup {BU}(2n)$ ⋮ Classification of \(BG\) for groups with dihedral or quaternion Sylow 2- subgroups ⋮ Some remarks on the p-homotopy type of B∑_p² ⋮ Complex \(K\)-theory of \(B\text{SL}_ 3({\mathbb{Z}{}})\) ⋮ Stable Splittings of the Dual Spectrum of the Classifying Space of a Compact Lie Group ⋮ Stable decompositions of classifying spaces of finite abelianp-groups ⋮ Splitting \(B({\mathbb{Z}}/p)^ n\) and \(BT^ n\) via modular representation theory

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