We characterize the 2–line of the p–local Adams–Novikov spectral sequence in terms of
modular forms satisfying a certain explicit congruence condition for primes p≥ 5. We give a …

For each odd prime p, Toda [13] has discovered an infinite family {st: t> 1} of non-trivial
elements in the p-primary component of the stable homotopy of spheres. These are …

Using techniques of relative homological algebra, for an odd prime p, we describe a
vanishing line of slope (p2− p− 1)− 1 in the second term of the BP〈 1〉-Adams spectral …

We present a new technique for analyzing the v0-Bockstein spectral sequence studied by
Shimomura and Yabe. Employing this technique, we derive a conceptually simpler …

Combining the relationship due to DS Kahn between \cup_i operations in homotopy and
Steenrod operations in the E_2 term of the Adams spectral sequence with Mahowald's result …

To determine the homotopy groups “*(So) of spheres is one of the main problems in
homotopy theory, and several methods have been found to reach it. One of them is the one …

In this paper we will show that certain elements of order p (p an odd prime) on the 2-line of
the Adams-Novikov spectral sequence support non-trivial differentials and therefore do not …

We establish a hidden extension in the Adams spectral sequence converging to the stable
homotopy groups of spheres at the prime 2 in the 54‐stem. This extension is exceptional in …

Let G2 be the Morava stabilizer group at the prime 2. We construct a resolution of the K (2)-
local sphere at the prime 2 in terms of certain homotopy fixed point spectra which are closely …

Throughout this paper, p will denote a prime with p 5. In this paper, we develope ideas, in
somewhat general situation, with which we have proved [15] that the stable homotopy group …