# The cohomology of the mod 2 Steenrod algebra

@inproceedings{Bruner2006TheCO,
title={The cohomology of the mod 2 Steenrod algebra},
author={Robert R. Bruner and John Rognes},
year={2006}
}
• Published 27 September 2021
• Mathematics
A minimal resolution of the mod 2 Steenrod algebra in the range 0 ≤ s ≤ 128, 0 ≤ t ≤ 184, together with chain maps for each cocycle in that range and for the squaring operation Sq0 in the cohomology of the Steenrod algebra. This article describes the archived dataset [8], available for download at the NIRD Research Data Archive https://archive.sigma2.no. Please refer to the dataset and this article by their digital object identifier DOI:10.11582/2021.00077.
2 Citations
On the May Spectral Sequence at the prime 2
We make a conjecture about all the relations in the $E_2$ page of the May spectral sequence and prove it in a subalgebra which covers a large range of dimensions. We conjecture that the $E_2$ page is
Some extensions in the Adams spectral sequence and the 51–stem
• Mathematics
Algebraic & Geometric Topology
• 2018
We show a few nontrivial extensions in the classical Adams spectral sequence. In particular, we compute that the 2-primary part of $\pi_{51}$ is $\mathbb{Z}/8\oplus\mathbb{Z}/8\oplus\mathbb{Z}/2$.

## References

SHOWING 1-10 OF 18 REFERENCES
On the cohomology of the mod-2 Steenrod algebra and the non-existence of elements of Hopf invariant one
BY JOHI S. P. 6 A very handy E term of the Adams spectral sequence for the sphere spectrum is obtained in [5]. Here we shall use it to calculate the cohomology of the mod-2 Steenrod algebra Hs’t(A)
On the Cohomology of the Steenrod algebra
L etA be the dual of the mod p Steenrod algebra. A = Fp(1;:::). Let A(n) be the subalgebra generated by 1;::: ;n. We show that there exists a family of nite p-groups G(n;r) whose group algebra
The Lambda algebra and Sq 0
The action of Sq on the cohomology of the Steenrod algebra is induced by an endomorphism Theta of the Lambda algebra. This paper studies the behavior of Theta in order to understand the action of Sq;
Calculation of large Ext modules”, Computers in Geometry and Topology (M. C
• 1989
Tangora, On the cohomology of the Steenrod
• algebra, Math. Z
• 1970
Ext4,∗ A (Z/2,Z/2) and Ext 5,∗ A (Z/2,Z/2)
• Topology Appl
• 2008
Stable homotopy groups of spheres (2020)
• 2001
Isaksen , Stable stems , Mem
• Group representations : cohomology , group actions and topology , Proceedings of Symposia in Pure Mathematics
• 1998
Root invariants and Sq0’s in ExtA
• rrb@math.wayne.edu
• 1997