Symmetricity of the Whitehead element
Hiroshima Mathematical Journal Volume 27 Issue 2
Page 221-228
published_at 1997-07
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| File | |
| Title ( eng ) |
Symmetricity of the Whitehead element
|
| Creator |
Kawamoto Yusuke
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| Source Title |
Hiroshima Mathematical Journal
|
| Volume | 27 |
| Issue | 2 |
| Start Page | 221 |
| End Page | 228 |
| Abstract |
We study the symmetricity of the Whitehead element w_n ∊ π_<2np-3> (S^<2n-1>) for an odd prime p. It is shown that w_n considered as a map S^<2np-3> → S^<2n-1> factors through the p-fold covering map σ : S^<2np-3> → L^<2np-3> only when n is a power of p, and that w_<p^i>, actually factors through σ if 0 ≤ i ≤ 4. This is some of an odd prime version of the results of Randall and Lin for the projectivity of the Whitehead product [l_<2n-1>, l_<2n-1>] ∊ π_<4n-3>(S^<2n-1>).
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| Keywords |
Whitehead element
symmetric
lens space
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| NDC |
Mathematics [ 410 ]
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| Language |
eng
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| Resource Type | departmental bulletin paper |
| Publisher |
Department of Mathematics, Faculty of Science, Hiroshima University
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| Date of Issued | 1997-07 |
| Publish Type | Version of Record |
| Access Rights | open access |
| Source Identifier |
[ISSN] 0018-2079
[NCID] AA00664323
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