The homotopy groups of the L_2-localized mod 3 Moore spectrum

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At each prime number p, the homotopy groups π<SUB>*</SUB>(L<SUB>2</SUB>S<SUP>0</SUP>) of the v<SUB>2</SUB><SUP>-1</SUP>BP- localized sphere spectrum play an crucial role to understand the category of v<SUB>2</SUB><SUP>-1</SUP>BP-local spectra. For p>3, they are determined by using the Adams-Novikov spectral sequence (ANSS), which collapses in this case. At the prime 3, \ π<SUB>*</SUB>(L<SUB>2</SUB>V(1)) is also determined by using the ANSS, in which E<SUB>∞</SUB>= E<SUB>10</SUB> in this case. Here V(1) denotes the Toda-Smith 4-cells spectrum. In this paper, we determine the homotopy groups π<SUB>*</SUB>(L<SUB>2</SUB>V(0)) of the mod 3 Moore spectrum from π<SUB>*</SUB>(L<SUB>2</SUB>V(1)) by the Bockstein spectral sequence (BSS). Actually, we first compute the E<SUB>2</SUB>-term of the ANSS by the BSS and then study the Adams-Novikov differentials, and obtain E<SUB>∞</SUB>=E<SUB>10</SUB> as well.

収録刊行物

  • Journal of the Mathematical Society of Japan  

    Journal of the Mathematical Society of Japan 52(1), 65-90, 2000-01 

    The Mathematical Society of Japan

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各種コード

  • NII論文ID(NAID)
    10004480012
  • NII書誌ID(NCID)
    AA0070177X
  • 本文言語コード
    ENG
  • 資料種別
    ART
  • ISSN
    00255645
  • NDL 記事登録ID
    4974634
  • NDL 雑誌分類
    ZM31(科学技術--数学)
  • NDL 請求記号
    Z53-A209
  • データ提供元
    CJP書誌  NDL  J-STAGE 
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