A-Generators for the Dickson Algebra

Let Dkdenote the Dickson algebra in k variables over the field of two elements. We study the problem of determining a minimal set of generators for Dkas a module over the Steenrod algebra A. This is easy for k = 1 and 2. In this paper we answer this question for k = 3 and 4 and give techniques which...

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Bibliographic Details
Published in:Transactions of the American Mathematical Society 1995, Vol.347 (12), p.4687-4728
Main Authors: Nguyen H. V. Hu'ng, Peterson, Franklin P.
Format: Article
Language:English
Subjects:
Algebra
Algebraic topology
Coefficients
Dyadics
Integers
Mathematical procedures
Mathematical theorems
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Summary:Let Dkdenote the Dickson algebra in k variables over the field of two elements. We study the problem of determining a minimal set of generators for Dkas a module over the Steenrod algebra A. This is easy for k = 1 and 2. In this paper we answer this question for k = 3 and 4 and give techniques which may help solve the problem for general k.
ISSN:0002-9947
1088-6850
DOI:10.1090/S0002-9947-1995-1316852-X