Geodesic
On a conjecture of Mahowald on the cohomology of finite sub-Hopf algebras of the Steenrod algebra
Homology, homotopy, and applications, Tome 22 (2020) no. 2, pp. 59-72.

Voir la notice de l'article provenant de la source International Press of Boston

Mahowald’s conjecture arose as part of a program attempting to view chromatic phenomena in stable homotopy theory through the lens of the classical Adams spectral sequence. The conjecture predicts the existence of nonzero classes in the cohomology of the finite sub-Hopf algebras $A(n)$ of the $\operatorname{mod} 2$ Steenrod algebra that correspond to generators in the homotopy rings of certain periodic spectra. The purpose of this note is to present a proof of the conjecture.
DOI : 10.4310/HHA.2020.v22.n2.a3
Classification : 55Q45, 55Q51, 55T15
Keywords: Mahowald conjecture, periodicity, cohomology, Steenrod algebra 
@article{HHA_2020_22_2_a2,
     author = {Paul Shick},
     title = {On a conjecture of {Mahowald} on the cohomology of finite {sub-Hopf} algebras of the {Steenrod} algebra},
     journal = {Homology, homotopy, and applications},
     pages = {59--72},
     publisher = {mathdoc},
     volume = {22},
     number = {2},
     year = {2020},
     doi = {10.4310/HHA.2020.v22.n2.a3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2020.v22.n2.a3/}
}
TY  - JOUR
AU  - Paul Shick
TI  - On a conjecture of Mahowald on the cohomology of finite sub-Hopf algebras of the Steenrod algebra
JO  - Homology, homotopy, and applications
PY  - 2020
SP  - 59
EP  - 72
VL  - 22
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4310/HHA.2020.v22.n2.a3/
DO  - 10.4310/HHA.2020.v22.n2.a3
LA  - en
ID  - HHA_2020_22_2_a2
ER  - 
%0 Journal Article
%A Paul Shick
%T On a conjecture of Mahowald on the cohomology of finite sub-Hopf algebras of the Steenrod algebra
%J Homology, homotopy, and applications
%D 2020
%P 59-72
%V 22
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4310/HHA.2020.v22.n2.a3/
%R 10.4310/HHA.2020.v22.n2.a3
%G en
%F HHA_2020_22_2_a2
Paul Shick. On a conjecture of Mahowald on the cohomology of finite sub-Hopf algebras of the Steenrod algebra. Homology, homotopy, and applications, Tome 22 (2020) no. 2, pp. 59-72. doi : 10.4310/HHA.2020.v22.n2.a3. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2020.v22.n2.a3/

Cité par Sources :