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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Nonimmersions and nonembeddings of quaternionic spherical space forms


Author: Teiichi Kobayashi
Journal: Trans. Amer. Math. Soc. 279 (1983), 723-728
MSC: Primary 57R42; Secondary 55N15, 55S25, 57R40
DOI: https://doi.org/10.1090/S0002-9947-1983-0709579-8
MathSciNet review: 709579
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Abstract: We determine the orders of the canonical elements in $ KO$-rings of quaternionic spherical space forms $ {S^{4n + 3}}/{Q_k}$ and apply them to prove the nonexistence theorems of immersions and embeddings of $ {S^{4n + 3}}/{Q_k}$ in Euclidean spaces.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1983-0709579-8
Keywords: Quaternionic spherical space forms, representation ring, $ K$-theory, $ KO$-theory, $ \gamma $-operations, immersions, embeddings
Article copyright: © Copyright 1983 American Mathematical Society

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