Shuhei Maruyama

activity

20192023

most citedThe flux homomorphism and central extensions of diffeomorphism groups

1 citations · 2 across the 7 of their papers we have counts for

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4 papers · 1 filter

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.GR2023

Invariable generation of certain groups of piecewise projective homeomorphisms of the real line

Shuhei Maruyama

We show that the following groups are invariably generated; the group of piecewise projective homeomorphisms of the real line, the group of piecewise $PSL (2, Z)$ h…

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.GR2020★ 1 cited

A note on stable commutator length in braided Ptolemy-Thompson groups

Shuhei Maruyama

In this note, we show that the sets of all stable commutator lengths in the braided Ptolemy-Thompson groups are equal to non-negative rational numbers.