activity
20042026
most citedDetermination of the order of the P-image by Toda brackets

5 citations · 8 across the 8 of their papers we have counts for

collaborators

9 papers

math.AT2026

Relations in the 24-th homotopy groups of spheres

Toshiyuki Miyauchi, Juno Mukai

The main purpose of this note is to give a proof of the fact that the Toda brackets \ and are not trivial. This is an affir…

math.AT2023

On the Homotopy Groups of the Suspended Quaternionic Projective Plane and Applications

Juxin Yang, Juno Mukai, Jie Wu

In this paper, we determined the -components of the homotopy groups for all and all , especially for the unstable on…

math.AT2021

The 23-rd and 24-th homotopy groups of the n-th rotation group

Yoshihiro Hirato, Jin-ho Lee, Toshiyuki Miyauchi +2

We denote by the -th homotopy group of the -th rotation group and the 2-primary components of it. We determine the group structures of $π_k(R_n:…

math.AT2017

On Mimura's extension problem

Toshiyuki Miyauchi, Juno Mukai, Mariko Ohara

We determine the group strucure of the -rd homotopy group , where is the Lie group of exceptional type, which hasn't been determined for years.

math.AT2012

The 2-components of the 31-stem homotopy groups of the 9 and 10-spheres

Tomohisa Inoue, Juno Mukai

Group structures of the 2-primary components of the 31-stem homotopy groups of spheres were studied by Oda in 1979. There are, however, two incompletely determined groups. In this…

math.AT2012★ 2 cited

Relations in the 24-th homotopy groups of spheres

Toshiyuki Miyauchi, Juno Mukai

The main purpose of this note is to give a proof of the fact that the Toda brackets and are not trivial. This is an affirmative answer of the secon…