For stable splittings of the classifying spaces of general p-toral compact Lie groups, it is important step to describe the induced maps of the stable maps on Fp-homology. In this paper, we give the structure of the induced maps on Fp-homology for the classifying spaces of p-toral compact Lie groups. For this purpose, we show that there exists a transfer map τ : BF∞pΛ → BH∞pΛ where F∞ is a p-discrete toral group and H∞ is a subgroup of F∞, and we combine this result with the property that Af(F∞, K) is dense in slimnA(Fn, K)pΛ.
Bibliographical noteFunding Information:
’ The author was supported by Ministry of Education, ’ E-mail: email@example.com.
- Density property
- Induced maps of stable maps on Fp-homology
- P-discrete toral group
- P-toral compact Lie group
- Transfer map