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2012 Products of Greek letter elements dug up from the third Morava stabilizer algebra
Ryo Kato, Katsumi Shimomura
Algebr. Geom. Topol. 12(2): 951-961 (2012). DOI: 10.2140/agt.2012.12.951

Abstract

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: α1γt, β2γt, α1,α1,βpppγtβ1 and β1,p,γt for t with pt(t21) for a prime number p>5.

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Ryo Kato. Katsumi Shimomura. "Products of Greek letter elements dug up from the third Morava stabilizer algebra." Algebr. Geom. Topol. 12 (2) 951 - 961, 2012. https://doi.org/10.2140/agt.2012.12.951

Information

Received: 1 August 2011; Revised: 29 November 2011; Accepted: 8 January 2012; Published: 2012
First available in Project Euclid: 19 December 2017

zbMATH: 1245.55005
MathSciNet: MR2928900
Digital Object Identifier: 10.2140/agt.2012.12.951

Subjects:
Primary: 55Q45
Secondary: 55Q51

Rights: Copyright © 2012 Mathematical Sciences Publishers

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