On the ku-homology of certain classifying spaces

2010/06/05 by Leticia Zárate, Leticia Zarate, Zarate, Leticia
Computer Science · Mathematics · #19L41 #Algebraic Topology (math.AT) #Commutative Algebra (math.AC) #Digital Image Processing Techniques #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #math.AC #math.AT #msc:19L41

paper · pdf · doi:10.48550/arxiv.1006.1050

31 pages

openalex publication_date 2010/06/05 · arxiv created 2010/08/15 · arxiv updated 2010/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We calculate the ku-homology of the groups Z/pⁿ X Z/p and Z/p² X Z/p². We prove that for this kind of groups the ku-homology contains all the complex bordism information. We construct a set of generators of the annihilator of the ku-toral class. These elements also generates the annihilator of the BP-toral class.

Related

• On the ku-homology of certain classifying spaces II
• The mod-2 connected KU-homology of the Eilenberg-MacLane space K(Z/2,2)
• The KO*-rings of BT^m, the Davis-Januszkiewicz Spaces and certain toric manifolds
• The Hopf Rings for KO and KU
• The connective KO theory of the Eilenberg-MacLane space K(Z/2,2)