Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2016; 53(5): 1567-1583

Online first article September 13, 2016      Printed September 30, 2016

https://doi.org/10.4134/BKMS.b150838

Copyright © The Korean Mathematical Society.

Some cohomotopy groups of suspended quaternionic projective planes

Jin Ho Lee and Kee Young Lee

Korea University, Korea University

Abstract

In this paper we present the computation of two kinds of cohomotopy groups $[\Sigma^{n+4} \A P^2,S^n]$ and $[\Sigma^{n+5} \A P^2,S^n]$ for a non-negative integer $n$, where $\Sigma^{k} \A P^2$ is the $k$-fold suspension of quaternionic projective plane $\A P^2$.

Keywords: cohomotopy group, quaternionic projective plane, suspension, Toda bracket

MSC numbers: 55P15, 55Q05, 55Q40, 55Q55

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