On Mimura's extension problem

We determine the group structure of the 23-rd homotopy group π23(G2), where G2 is the exceptional Lie group of rank 2, which hasn't been determined for 50 years.

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Bibliographic Details
Published inTopology and its applications Vol. 243; pp. 135 - 145
Main Authors Miyauchi, Toshiyuki, Mukai, Juno, Ohara, Mariko
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.07.2018
Subjects
[formula omitted]-Moore space
Lie group of exceptional type
Toda bracket
Toda bracket
Lie group of exceptional type
57T20
55R10
Z2-Moore space
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Summary:We determine the group structure of the 23-rd homotopy group π23(G2), where G2 is the exceptional Lie group of rank 2, which hasn't been determined for 50 years.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2018.05.008