A beta family in the homotopy of spheres
Author:
Katsumi Shimomura
Journal:
Proc. Amer. Math. Soc. 142 (2014), 29212928
MSC (2010):
Primary 55Q45; Secondary 55Q51
Published electronically:
April 25, 2014
MathSciNet review:
3209345
Fulltext PDF
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Abstract: Let be a prime number greater than three. In the component of stable homotopy groups of spheres, Oka constructed a beta family from a periodic map on a four cell complex. In this paper, we construct another beta family in the groups at a prime greater than five from a periodic map on an eight cell complex.
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 Katsumi Shimomura, The beta elements in the homotopy of spheres, Algebr. Geom. Topol. 10 (2010), 20792090. MR 2745666 (2011k:55009), http://dx.doi.org/10.2140/agt.2010.10.2079
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Additional Information
Katsumi Shimomura
Affiliation:
Department of Mathematics, Faculty of Science, Kochi University, Kochi, 7808520, Japan
Email:
katsumi@kochiu.ac.jp
DOI:
http://dx.doi.org/10.1090/S000299392014120090
Received by editor(s):
March 20, 2012
Received by editor(s) in revised form:
August 13, 2012, and August 30, 2012
Published electronically:
April 25, 2014
Communicated by:
Brooke Shipley
Article copyright:
© Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
