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Some Differentials in the mod 3 Adams Sepectral Sequence
http://hdl.handle.net/20.500.12000/23687
http://hdl.handle.net/20.500.12000/236878b90da54-9fdf-4988-bad4-622fe1e99d93
| 名前 / ファイル | ライセンス | アクション |
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No19p001_2.pdf
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No19p001_1.pdf
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| Item type | デフォルトアイテムタイプ（フル）(1) | |||||||||
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| 公開日 | 2012-03-06 | |||||||||
| タイトル | ||||||||||
| タイトル | Some Differentials in the mod 3 Adams Sepectral Sequence | |||||||||
| 言語 | en | |||||||||
| 作成者 |
Nakamura, Osamu
× Nakamura, Osamu
× 中村, 治
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| アクセス権 | ||||||||||
| アクセス権 | open access | |||||||||
| アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||
| 内容記述 | ||||||||||
| 内容記述タイプ | Other | |||||||||
| 内容記述 | Let A_p be the mod p Steenrod algebra. J. F. Adams [1] introduced a spectral sequence which has as its E_2 term Ext_A_p (H*(X), Z_p) and which converges to a graded algebra associated to π^s_*(X;p) i. e., the p-primary stable homotopy groups of X. In this paper we will study this sequence for X=S^n, P=3. The first problem in any use of the Adams spectral sequence is to obtain E_2 = Ext^<s,t>_<A_3>(Z_3, Z_3). We do this by the technique of J. P. May [5] J. P. May constructed another spectral sequence which has as its E_∞ term an algebra E^oExt, i. e. a tri-graded algebra associated to E_2 = Ext. In [9], we extended (and corrected) May's computations to obtain complete information on E_oExt through dimension 158. The next problem is to obtain the differentials in the Adams spectral sequence. J. P. May [5] and S.Oka have previously determined all differentials at least in the range t-s≦77 by using the results of the 3-components of stable homotopy groups of sphere which have been calculated by H.Toda [12,13,14,15] J.P.May [5] and S.Oka [10]. The purpose of this paper is to evaluate the differentials in the range 78≦t-s≦104. Our main result is Theorem 3.19. Finally the auther wishes to extend his gratitude to Dr. Shichiro Oka for valuable information and discussions during this investigation. | |||||||||
| 内容記述 | ||||||||||
| 内容記述タイプ | Other | |||||||||
| 内容記述 | 紀要論文 | |||||||||
| 出版者 | ||||||||||
| 出版者 | 琉球大学理工学部 | |||||||||
| 言語 | ja | |||||||||
| 出版者 | ||||||||||
| 出版者 | Science and Engineering Division, University of the Ryukyus | |||||||||
| 言語 | en | |||||||||
| 言語 | ||||||||||
| 言語 | eng | |||||||||
| 資源タイプ | ||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||
| 資源タイプ | departmental bulletin paper | |||||||||
| 出版タイプ | ||||||||||
| 出版タイプ | NA | |||||||||
| 出版タイプResource | http://purl.org/coar/version/c_be7fb7dd8ff6fe43 | |||||||||
| 識別子 | ||||||||||
| 識別子 | http://hdl.handle.net/20.500.12000/23687 | |||||||||
| 識別子タイプ | HDL | |||||||||
| 収録物識別子 | ||||||||||
| 収録物識別子タイプ | NCID | |||||||||
| 収録物識別子 | AN0025080X | |||||||||
| 収録物名 | ||||||||||
| 収録物名 | 琉球大学理工学部紀要. 理学編 | |||||||||
| 言語 | ja | |||||||||
| 収録物名 | ||||||||||
| 収録物名 | Bulletin of Science & Engineering Division, University of Ryukyus. Mathematics & natural sciences | |||||||||
| 言語 | en | |||||||||
| 書誌情報 |
号 19, p. 1-25, 発行日 1975-03 |
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