Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 12, Number 2 (2012), 951-961.
Products of Greek letter elements dug up from the third Morava stabilizer algebra
In [Hiroshima Math. J. 12 (1982) 611–626], Oka and the second author considered the cohomology of the second Morava stabilizer algebra to study nontriviality of the products of beta elements of the stable homotopy groups of spheres. In this paper, we use the cohomology of the third Morava stabilizer algebra to find nontrivial products of Greek letters of the stable homotopy groups of spheres: , , and for with for a prime number .
Algebr. Geom. Topol., Volume 12, Number 2 (2012), 951-961.
Received: 1 August 2011
Revised: 29 November 2011
Accepted: 8 January 2012
First available in Project Euclid: 19 December 2017
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Kato, Ryo; Shimomura, Katsumi. Products of Greek letter elements dug up from the third Morava stabilizer algebra. Algebr. Geom. Topol. 12 (2012), no. 2, 951--961. doi:10.2140/agt.2012.12.951. https://projecteuclid.org/euclid.agt/1513715376