黑龙江大学自然科学学报
黑龍江大學自然科學學報
흑룡강대학자연과학학보
JOURNAL OF NATURAL SCIENCE OF HEILONGJIANG UNIVERSITY
2007年
3期
395-398,402
,共5页
球面稳定同伦群%Adams谱序列%Toda-Smith谱%May谱序列
毬麵穩定同倫群%Adams譜序列%Toda-Smith譜%May譜序列
구면은정동륜군%Adams보서렬%Toda-Smith보%May보서렬
stable homotopy of spheres%Adams spectral sequence%Toda-Smith spectra%May spectral sequence
利用Adams谱序列,May谱序列和上纤维序列等工具,并以某些相对低维的Ext群的结果为基础,具体地计算了Ext群中的某些元的第一阶数与第二阶数,并由此得出在Adams谱序列中乘积(γ)s+3g0∈Exts+5,(s+3)p2q+(s+3)pq+(s+3)q+s-A(Zp,Zp)非平凡,并且收敛到π*S中的非平凡的P阶元素,其中p≥7的奇数,O≤s<p-3,q=2(p-1),S是奇素数球谱.
利用Adams譜序列,May譜序列和上纖維序列等工具,併以某些相對低維的Ext群的結果為基礎,具體地計算瞭Ext群中的某些元的第一階數與第二階數,併由此得齣在Adams譜序列中乘積(γ)s+3g0∈Exts+5,(s+3)p2q+(s+3)pq+(s+3)q+s-A(Zp,Zp)非平凡,併且收斂到π*S中的非平凡的P階元素,其中p≥7的奇數,O≤s<p-3,q=2(p-1),S是奇素數毬譜.
이용Adams보서렬,May보서렬화상섬유서렬등공구,병이모사상대저유적Ext군적결과위기출,구체지계산료Ext군중적모사원적제일계수여제이계수,병유차득출재Adams보서렬중승적(γ)s+3g0∈Exts+5,(s+3)p2q+(s+3)pq+(s+3)q+s-A(Zp,Zp)비평범,병차수렴도π*S중적비평범적P계원소,기중p≥7적기수,O≤s<p-3,q=2(p-1),S시기소수구보.
It is shown that in the Adama spectral sequence the product (γ)s+3g0≠0 ∈ Ext3+5,(s+3)p2q+(s+3)pq+(s+3)q+s-A(Ap,Zp),and converges nontrivially to an element of order p in π* S,by using Adams spectral sequence,May spectral squence and cofibration ect.and by using some coneorete caculation on first degrees and second degrees of the elements in involved low dimensional Ext group,where P≥7 is an odd prime,0≤s<p-3,q=2(p-1),and S is an odd prime p sphere spectrum.
