T. Miyauchi

activity

20122021

most citedRelations in the 24-th homotopy groups of spheres

2 citations · 2 across the 2 of their papers we have counts for

collaborators

3 papers

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 $π_{k} (R_{n})$ the $k$ -th homotopy group of the $n$ -th rotation group $R_{n}$ and $π_{k} (R_{n} : 2)$ the 2-primary components of it. We determine the group structures of $π_k(R_n:…

math.AT2019

Higher homotopy associativity in the Harris decomposition of Lie groups

Daisuke Kishimoto, Toshiyuki Miyauchi

Let $(G, H) = (S U (2 n + 1), S O (2 n + 1)), (S U (2 n), S p (n)), (S O (2 n), S O (2 n - 1)), (E_{6}, F_{4}), (S p in (8), G_{2})$ , and let $p$ be any prime $\geq 5$ for $(G, H) = (E_{6}, F_{4})$ , any prime $p \neq = 3$ for $(G…

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 $< ν ˉ, σ, ν ˉ >$ and $< ν, η, σ ˉ >$ are not trivial. This is an affirmative answer of the secon…