  This paper is an English translation of chapter nine of the book "Adams
spectral sequence and stable homotopy groups of spheres" by Jinkun Lin (in
Chinese)(Sciences Press, Beijing 2007). In this paper, a sequence of new
indecomposable families in the stable homotopy groups of spheres such as
h_0h_n,h_nb_n,h_0h_nh_m,h_0(h_mb_{n-1}-b_{m-1}h_n) families was detected. The
proof of all the detections was stated in this paper in based on several
published papers by the author.
