Hit polynomials and excess in the mod P Steenrod algebra

被引：2

作者：

Meyer, DM ^{[1
]}

机构：

[1] Univ Paris 13, Lab Anal Geometrie & Applicat, F-93430 Villetaneuse, France

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2001年 / 44卷

关键词：

hit polynomials; excess; Steenrod algebra;

D O I：

10.1017/S0013091500000353

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p be an odd prime. The primary purpose of this paper is to determine the excess of the conjugates of the Steenrod operations P[k; f], which are defined as P[k; f] := P(p(k-1) f) . P(p(k-2) f) ..... P(pf) . P(f). The result is then used to obtain sufficient conditions for an element in the polynomial algebra F-p[x(1),...,x(s)] to be in the image under the standard action of the Steenrod algebra. Results and methods are generalizations of previous work by Judith Silverman and by myself with Judith Silverman.

引用

页码：323 / 350

页数：28

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