On the [p]-series in Brown-Peterson homology
type: Item
instance of: scholarly article
title: On the [p]-series in Brown-Peterson homology
zbMATH Open document ID: 0632.55002
DOI: 10.1016/0022-4049(87)90114-9
published in: Journal of Pure and Applied Algebra
publication date: 1987-01-01T00:00:00Z
review text: The author makes a detailed study of the coefficients of the multiplication-by-p series [p](X) for the formal group law of Brown- Peterson homology at the prime p. His main result asserts that each coefficient of [p](X) lies in a product of invariant prime ideals in \(BP_*\), the product containing the coefficient \(a_ s\in BP_{2s}\) depending directly on the p-adic expansion of \(s+1\).
Mathematics Subject Classification ID: 55N22
Mathematics Subject Classification ID: 55N20
Mathematics Subject Classification ID: 57R77
zbMATH DE Number: 4028406
zbMATH Keywords: multiplication-by-p series
zbMATH Keywords: formal group law of Brown-Peterson homology
author: David C. Johnson
reviewed by: Peter Landweber
MaRDI profile type: Publication
full work available at URL: 0022-4049(87)90114-9
OpenAlex ID: W2042722195
cites work: A universal formal group and complex cobordism
cites work: The structure of \(BP\ast BP\) modulo an invariant prime ideal
cites work: Q3667609
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description: scientific article; zbMATH DE number 4028406