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2018 Some extensions in the Adams spectral sequence and the $51$–stem
Guozhen Wang, Zhouli Xu
Algebr. Geom. Topol. 18(7): 3887-3906 (2018). DOI: 10.2140/agt.2018.18.3887

Abstract

We show a few nontrivial extensions in the classical Adams spectral sequence. In particular, we compute that the 2 –primary part of π 5 1 is 8 8 2 . This was the last unsolved 2 –extension problem left by the recent work of Isaksen and the authors through the 6 1 –stem.

The proof of this result uses the R P technique, which was introduced by the authors to prove π 6 1 = 0 . This paper advertises this technique through examples that have simpler proofs than in our previous work.

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Guozhen Wang. Zhouli Xu. "Some extensions in the Adams spectral sequence and the $51$–stem." Algebr. Geom. Topol. 18 (7) 3887 - 3906, 2018. https://doi.org/10.2140/agt.2018.18.3887

Information

Received: 26 July 2017; Revised: 12 July 2018; Accepted: 3 August 2018; Published: 2018
First available in Project Euclid: 18 December 2018

zbMATH: 07006380
MathSciNet: MR3892234
Digital Object Identifier: 10.2140/agt.2018.18.3887

Subjects:
Primary: 55Q40

Rights: Copyright © 2018 Mathematical Sciences Publishers

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Vol.18 • No. 7 • 2018
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