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On nontriviality of certain homotopy groups of spheres. / Ivanov, Sergei O.; Mikhailov, Roman; Wu, Jie.
в: Homology, Homotopy and Applications, Том 18, № 2, 01.01.2016, стр. 337-344.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - On nontriviality of certain homotopy groups of spheres
AU - Ivanov, Sergei O.
AU - Mikhailov, Roman
AU - Wu, Jie
PY - 2016/1/1
Y1 - 2016/1/1
N2 - We provide an alternative proof of Gray's result that, for an odd prime p, there is a non-trivial Z/p-component in the homotopy group π(2p-2)n+1(S3). As a corollary, it follows that, for n ≥ 2, the homotopy groups πn(S2) are non-zero.
AB - We provide an alternative proof of Gray's result that, for an odd prime p, there is a non-trivial Z/p-component in the homotopy group π(2p-2)n+1(S3). As a corollary, it follows that, for n ≥ 2, the homotopy groups πn(S2) are non-zero.
KW - Homotopy group
KW - Lambda algebra
KW - Toda element
UR - http://www.scopus.com/inward/record.url?scp=85046134189&partnerID=8YFLogxK
U2 - 10.4310/HHA.2016.v18.n2.a18
DO - 10.4310/HHA.2016.v18.n2.a18
M3 - Article
AN - SCOPUS:85046134189
VL - 18
SP - 337
EP - 344
JO - Homology, Homotopy and Applications
JF - Homology, Homotopy and Applications
SN - 1532-0073
IS - 2
ER -
ID: 46234432