caa a22 4500 386386226 CHVBK 20200722080538.0 cr unu---uuuuu 161130e198911 xx s 000 0 eng 10.1017/S0305004100068249 doi S0305004100068249 pii (NATIONALLICENCE)cambridge-10.1017/S0305004100068249 Liftings of formal groups and the Artinian completion of BP [Elektronische Daten] Let BP denote the localization at υn, of the Brown-Peterson spectrum (associated to the prime p). There is a related ring spectrum E(n) with homotopy ring (as a quotient ring of in fact the cohomology theory E(n)*( ) is determined via a Conner-Floyd type isomorphism from on finite complexes, and moreover E(n) and BP are in the same Bousfield class (see [2, 14]). Although it is known (essentially from [17]) that BP cannot be a product of suspensions of E(n) in a multiplicative sense, D. Ravenel conjectured that such a splitting might occur after suitable completion of these spectra (see the introduction to [14]). This question was the original motivation of the present paper; however in proving Ravenel's conjecture we were naturally led to the consideration of some fundamental results in the theory of liftings of formal group laws and ‘change of ring' results for Ext groups occurring in connection with the work of [10, 11, 12]. Copyright © Cambridge Philosophical Society 1989 Baker Andrew Manchester University, Manchester M13 9PL, England Würgler Urs Universität Bern, Bern, CH3012, Switzerland Mathematical Proceedings of the Cambridge Philosophical Society Cambridge University Press 106/3(1989-11), 511-530 0305-0041 106:3<511 1989 106 PSP https://doi.org/10.1017/S0305004100068249 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-cambridge NATIONALLICENCE 856 40 https://doi.org/10.1017/S0305004100068249 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Baker Andrew Manchester University, Manchester M13 9PL, England NATIONALLICENCE 700 1- Würgler Urs Universität Bern, Bern, CH3012, Switzerland NATIONALLICENCE 773 0- Mathematical Proceedings of the Cambridge Philosophical Society Cambridge University Press 106/3(1989-11), 511-530 0305-0041 106:3<511 1989 106 PSP SWISSBIB 386386226