Toda谱V(1)的自映射群

SELF MAPS GROUP OF THE TODA SPECTRUM V(1)

本文给出了由Ｔｏｄａ 谱Ｖ（１）的同伦群πＶ（１）确定出它的自映射群［ΣＶ（１），Ｖ（１）］的一般方法，并且由πＶ（１）的已知结果确定了［ΣＶ（１），Ｖ（１）］在次数＜ ２（ｐ２ ＋ ２ｐ）（ｐ－ １）－ ５ 时的全部Ｚｐ 基元，其中ｐ≥５

This paper gives a general method for determining the self maps group ∑ *V(1),V(1)of the Toda spectrum V(1) by its homotopy groups π *V(1), and by using a known result on π *V(1). We determine all the Z p base elements of ∑ *V(1),V(1) in degree <2(p 2+2p)(p-1)-5, where p≥5 is a prime.