TY - JOUR ID - 204 TI - A new family in the stable homotopy groups of spheres JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Liu, Xiugui AU - Ma, Kai AD - School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, P. R China AD - Mathematics and Information Science College,Hebei Normal University, 050016,Shijiazhuang, P. R. China Y1 - 2012 PY - 2012 VL - 38 IS - 2 SP - 313 EP - 322 KW - stable homotopy groups of spheres KW - Adams spectral sequence KW - May spectral sequence DO - N2 - Let $p$ be a prime number greater than three. In this paper, we prove the existence of a new family of homotopy elements in the stable homotopy groups of spheres $pi_{ast}(S)$ which is represented by $h_nh_mtilde{beta}_{s+2}in {rm Ext}_A^{s+4, q[p^n+p^m+(s+2)p+(s+1)]+s}(mathbb{Z}_p,mathbb{Z}_p)$ up to nonzero scalar in the Adams spectral sequence, where $ngeq m+2>5$, $0leq sExt}_A^{s+2,q[(s+2)p+(s+1)]+s}(mathbb{Z}_p,mathbb{Z}_p)$ was defined by X. Wang and Q. Zheng. UR - http://bims.iranjournals.ir/article_204.html L1 - http://bims.iranjournals.ir/article_204_3e0a128f7a5b367bd3351fe6549af39e.pdf ER -