数学进展
數學進展
수학진전
ADVANCES IN MATHEMATICS
2006年
6期
733-738
,共6页
Adams谱序列%球面稳定同伦%Toda-Smith谱
Adams譜序列%毬麵穩定同倫%Toda-Smith譜
Adams보서렬%구면은정동륜%Toda-Smith보
Adams spectral sequence%stable homotopy of spheres%Toda-Smith spectrum
本文证明:当p≥7任意奇素数,3≤s＜p时,同伦元素α1β1γs是球面稳定同伦群π*S中的一个阶为p的非平凡元素.
本文證明:噹p≥7任意奇素數,3≤s＜p時,同倫元素α1β1γs是毬麵穩定同倫群π*S中的一箇階為p的非平凡元素.
본문증명:당p≥7임의기소수,3≤s＜p시,동륜원소α1β1γs시구면은정동륜군π*S중적일개계위p적비평범원소.
In this paper, it is proved that for p ≥ 7 an arbitrary odd prime number and 3 ≤ s ＜ p,the homotopy element α1β1γs is nontrivial and of order p in the stable homotopy groups of spheres π* S.
