Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 18, Number 7 (2018), 3887-3906.
Some extensions in the Adams spectral sequence and the $51$–stem
We show a few nontrivial extensions in the classical Adams spectral sequence. In particular, we compute that the –primary part of is . This was the last unsolved –extension problem left by the recent work of Isaksen and the authors through the –stem.
The proof of this result uses the technique, which was introduced by the authors to prove . This paper advertises this technique through examples that have simpler proofs than in our previous work.
Algebr. Geom. Topol., Volume 18, Number 7 (2018), 3887-3906.
Received: 26 July 2017
Revised: 12 July 2018
Accepted: 3 August 2018
First available in Project Euclid: 18 December 2018
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 55Q40: Homotopy groups of spheres
Wang, Guozhen; Xu, Zhouli. Some extensions in the Adams spectral sequence and the $51$–stem. Algebr. Geom. Topol. 18 (2018), no. 7, 3887--3906. doi:10.2140/agt.2018.18.3887. https://projecteuclid.org/euclid.agt/1545102057