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math.GR2026
Coarse geometry of stable mixed commutator length I: duality and functional analysis on chains
Morimichi Kawasaki, Mitsuaki Kimura, Shuhei Maruyama +2
Let be a group and its normal subgroup. On the mixed commutator subgroup , the mixed stable commutator length and the restriction of the ordinar…
math.GR2025
Coarse group theoretic study on stable mixed commutator length
Morimichi Kawasaki, Mitsuaki Kimura, Shuhei Maruyama +2
Let be a group and a normal subgroup of . We study the large scale behavior, not the exact values themselves, of the stable mixed commutator length on the mi…
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…