𝒜-generators for the Dickson algebra

Autor: Franklin P. Peterson, Nguyen Viet Hung
Rok vydání: 1995
Předmět:
Zdroj: Transactions of the American Mathematical Society. 347:4687-4728
ISSN: 1088-6850
0002-9947
DOI: 10.1090/s0002-9947-1995-1316852-x
Popis: Let D k {D_k} denote the Dickson algebra in k k variables over the field of two elements. We study the problem of determining a minimal set of generators for D k {D_k} as a module over the Steenrod algebra A \mathcal {A} . This is easy for k = 1 k = 1 and 2 2 . In this paper we answer this question for k = 3 k = 3 and 4 4 and give techniques which may help solve the problem for general k k .
Databáze: OpenAIRE