球面稳定同伦中同伦元素β2γs的非平凡性
구면은정동륜중동륜원소β2γs적비평범성
NON-TRIVIALITY OF SOME COMPOSITIONS β2γs IN THE STABLE HOMOTOPY OF SPHERES
  • 万方数据
    数学杂志 수학잡지
    JOURNAL OF MATHEMATICS
    2006年 4期 393-398 ,共6页

    刘秀贵%赵永强

    류수귀%조영강

    球面稳定同伦%Adams普序列%Toda-Smith谱 毬麵穩定同倫%Adams普序列%Toda-Smith譜
    구면은정동륜%Adams보서렬%Toda-Smith보
    stable homotopy of spheres%Adams spectral sequence%Toda-Smith spectrum
    本文研究了球面稳定同伦中同伦元素β2γs的非平凡性.利用May谱序列和Adams谱序列证明:同伦元素β2γs在一定条件下是阶为p的非平凡元素,其中p≥7是奇素数.
    본문연구료구면은정동륜중동륜원소β2γs적비평범성.이용May보서렬화Adams보서렬증명:동륜원소β2γs재일정조건하시계위p적비평범원소,기중p≥7시기소수.
    The paper studies the nontriviality of homotopy elements β2γs in the stable homotopy of spheres. We make use of the May spectral sequence and the Adams spectral sequence to prove that under some conditions the homotopy element β2γs is nontrivial and of order p, where p≥7 is an odd prime number.
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