Abstract:In this paper, by using the May spectral sequence and combined with the algebraic and number-theoretical methods, for p≥7, it is proved that both b1h1 and b1 g0 are permanent cycles in the Adams spectral sequence and not dr boundaries. The corresponding nonzero elements of the homotopy group π* V(1) will be detected, where V(1) is Toda-Smith spectrum.
蔡玉梅,李园园,王玉玉*. 谱V(1)同伦群中一些元素的存在性[J]. 华中师范大学学报(自然科学版), 2022, 56(3): 383-388.
CAI Yumei,LI Yuanyuan,WANG Yuyu. The existence of some elements in the homotopy group of spectrum V(1). journal1, 2022, 56(3): 383-388.