Sub-Hopf algebras of the Steenrod algebra and the Singer transfer

Abstract

The Singer transfer provides an interesting connection between modular representation theory and the cohomology of the Steenrod algebra. We discuss a version of `Quillen stratification' theorem for the Singer transfer and its consequences.

arXiv commentThis is the version published by Geometry & Topology Monographs on 14 November 2007

References in corpus (1)

• Sub-Hopf algebras of the Steenrod algebra and the Singer transfer

Cited by in corpus (12)

• Sub-Hopf algebras of the Steenrod algebra and the Singer transfer
• On the Peterson hit problem
• The "hit" problem of five variables in the generic degree and its application
• The affirmative answer to Singer's conjecture on the algebraic transfer of rank four
• On the determination of the Singer transfer
• On the dimension of $H^{\ast }(({\mathbb{Z}}_2{)}^{\times t},{\mathbb{Z}}_2)$ as a module over Steenrod ring
• The hit problem for the polynomial algebra of four variables
• The squaring operartion and the Singer algebraic transfer
• A note on the non-trivial elements in the cohomology groups of the Steenrod algebra
• On Singer's conjecture for the fifth algebraic transfer
• On modules over the mod 2 Steenrod algebra and hit problems
• Structure of the space of $G{L}_4({\mathbb{Z}}_2)$-coinvariants ${\mathbb{Z}}_2{\otimes }_{G{L}_4({\mathbb{Z}}_2)}P{H}_{\ast }({\mathbb{Z}}_2^4,{\mathbb{Z}}_2)$ in some generic degrees and its application