M. Kimura

activity

20202026

most citedAutomorphisms of fine curve graphs for nonorientable surfaces

1 citations · 1 across the 12 of their papers we have counts for

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7 papers · 1 filter

math.GR2026

Coarse geometry of stable mixed commutator length I: duality and functional analysis on chains

Morimichi Kawasaki, Mitsuaki Kimura, Shuhei Maruyama +2

Let $G$ be a group and $N$ its normal subgroup. On the mixed commutator subgroup $[G, N]$ , the mixed stable commutator length $scl_{G, N}$ and the restriction of the ordinar…

math.GR2024

Relative simplicity of the universal coverings of transformation groups and Tsuboi's metric

Morimichi Kawasaki, Mitsuaki Kimura, Hiroki Kodama +3

Many transformation groups on manifolds are simple, but their universal coverings are not. In the present paper, we study the concept of relatively simple group, that is, a group w…

math.GR2023

Coarse group theoretic study on stable mixed commutator length

Morimichi Kawasaki, Mitsuaki Kimura, Shuhei Maruyama +2

Let $G$ be a group and $N$ a normal subgroup of $G$ . We study the large scale behavior, not the exact values themselves, of the stable mixed commutator length $sc l_{G, N}$ on the mi…

math.GR2022

Survey on invariant quasimorphisms and stable mixed commutator length

Morimichi Kawasaki, Mitsuaki Kimura, Shuhei Maruyama +2

A homogeneous quasimorphism $ϕ$ on a normal subgroup $N$ of $G$ is said to be $G$ -invariant if $ϕ (g x g^{- 1}) = ϕ (x)$ for every $g \in G$ and for every $x \in N$ . Invariant quasimorp…

math.GR2022

Mixed commutator lengths, wreath products and general ranks

Morimichi Kawasaki, Mitsuaki Kimura, Shuhei Maruyama +2

In the present paper, for a pair $(G, N)$ of a group $G$ and its normal subgroup $N$ , we consider the mixed commutator length $cl_{G, N}$ on the mixed commutator subgroup $[…

math.GR2021

The space of non-extendable quasimorphisms

Morimichi Kawasaki, Mitsuaki Kimura, Shuhei Maruyama +2

For a pair $(G, N)$ of a group $G$ and its normal subgroup $N$ , we consider the space of quasimorphisms and quasi-cocycles on $N$ non-extendable to $G$ . To treat this space, we esta…

math.GR2020

Bavard's duality theorem for mixed commutator length

Morimichi Kawasaki, Mitsuaki Kimura, Takahiro Matsushita +1

Let $N$ be a normal subgroup of a group $G$ . A quasimorphism $f$ on $N$ is $G$ -invariant if $f (g x g^{- 1}) = f (x)$ for every $g \in G$ and every $x \in N$ . The goal in this paper is…