Filtering the coefficients of the [2k]-series for Brown-Peterson homology

被引：0

作者：

González, J ^{[1
]}

机构：

[1] Inst Politecn Nacl, CINVESTAV, Dept Matemat, Mexico City 07000, DF, Mexico

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2000年 / 6卷 / 01期

关键词：

Brown-Peterson spectrum; formal groups laws; universal typical 2(k)-series; filtrations in the coefficient ring for Brown-Peterson homology;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For non-negative integers k and s let a(k,s) be the s-th coefficient of the universal 2-typical [2(k)]-series. Thus a(k,s) is a polynomial over the 2-local integers on variables nu(1), nu(2),.... We study the structure of this polynomial by using a family of filtrations in the coefficient ring of the Brown-Peterson spectrum. As a result we identify k monomials on a(k,s). The monomials, as well as their 2-divisibility properties, are determined by the dyadic expansion of s + 1.

引用

页码：73 / 80

页数：8