2 citations · 5 across the 5 of their papers we have counts for
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Generalized Moore spectra and Hopkins' Picard groups for a smaller chromatic level
Ryo Kato, You-na Kawamoto, Hiroki Okajima +1
Let for a positive integer denote the stable homotopy category of -local spectra at a prime number . Then, M.~Hopkins defines the Picard group of…
Beta families arising from a self map on
Eva Belmont, Katsumi Shimomura
We show that is a permanent cycle in the 3-primary Adams-Novikov spectral sequence computing , and use this to conclude that the families for…
Products of Greek letter elements dug up from the third Morava stabilizer algebra
Ryo Kato, Katsumi Shimomura
Oka and the second author considered the cohomology of the second Morava stabilizer algebra to study nontriviality of the products of beta elements of the stable homotopy groups of…
The first line of the Bockstein spectral sequence on a monochromatic spectrum at an odd prime
Ryo Kato, Katsumi Shimomura
The chromatic spectral sequence is introduced in \cite{mrw} to compute the -term of the \ANSS\ for computing the stable homotopy groups of spheres. The -term $E_1^{s,t}(k…
On the homotopy groups of E(n)-local spectra with unusual invariant ideals
Hirofumi Nakai, Katsumi Shimomura
Let E(n) and T(m) for nonnegative integers n and m denote the Johnson-Wilson and the Ravenel spectra, respectively. Given a spectrum whose E(n)_*-homology is E(n)_*(T(m))/(v_1,...,…