A universal isomorphism for p-typical formal groups and operations in Brown-Peterson cohomology
✍ Scribed by Michiel Hazewinkel
- Publisher
- Elsevier Science
- Year
- 1976
- Weight
- 259 KB
- Volume
- 79
- Category
- Article
- ISSN
- 1385-7258
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✦ Synopsis
We construct an abstract isomorphism ofp-typical formal groups which is universal for isomorphisms of p-typical formal groups over Z(p)-algebraa or characteristic zero rings. Associated to this universal isomorphism is a homomorphism of rings Z[Vl, vz, . . . I + Z[Vl, Va, . . . . 2'1, Ta, . ..I which (after localization et p) can be identified with the right unit homomorphism l;l~ : BP,&) --f BP,(BP) of the Hopfalgebra BP,(BP) of Brown-Peterson (co)homology. We calculate 7~ modulo the ideal (Tr, Tz, . . . )2. These results are then used to obtain information on some of the operations of Brown-Peterson cohomology.