Induced maps in homology for p-toral compact Lie groups

✍ Scribed by Hyang-Sook Lee

• Book ID: 104295310
• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 564 KB
• Volume: 87
• Category: Article
• ISSN: 0166-8641
• DOI: 10.1016/s0166-8641(97)00169-7

✦ Synopsis

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 IF,,-homology. In this paper, we give the structure of the induced maps on IF,-homology for the classifying spaces of p-toral compact Lie groups. For this purpose, we show that there exists a transfer map 7: BFkp + BH,&, where F, is a p-discrete toral group and H, is a subgroup of F 3. and we combine this result with the property that As(F,.

K) is dense in Ifin.4(Fn. IC):. 0 1998 Elsevier Science B.V.