Notes on the filtration of the K-theory for abelian p-groups

DOI10.18926/MJOU/62798zbMATH Open1494.55006arXiv1907.09336MaRDI QIDQ5032391

Nobuaki Yagita

Publication date: 16 February 2022

Abstract: In this paper, I correct errors in my paper (Kodai Math. J. (2015)) about gamma filtrations for classifying spaces for abelian p-groups which are not elementary. We also extend Chetard's results for such 2-groups to p-groups for odd prime.

Full work available at URL: https://arxiv.org/abs/1907.09336

zbMATH Keywords

\(K\)-theoryabelian \(p\)-groupgamma fitration

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Topological (K)-theory (55N15)

Related Items (2)

On the \(K\)-theory of \({\mathbb{Z}}G\), \(G\) a non-Abelian group of order \(pq\) ⋮ Characters and \(K\)-theory of discrete groups

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