Steenrod代数上同调中的一个非平凡乘积元

摘要

Let p be an odd prime and A be the Steenord algebra.The extension groups is introduced firstly and then the product h0b0(β)s+2∈Exts+5A,*(Z/p,Z/p) is proved to be nontrivial,where p ≥7,0 ≤s＜p-3,β is the second periodic element.%设p是奇素数,A是Steenrod代数.首先对扩张群进行了简单介绍,进而证明了Adams谱序列中乘积元h0b0(β)x+2∈Exts+5A,*(Z/P,Z/P)的非平凡性,其中p≥7,0≤s＜p-3,β是第2周期元.