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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.MG2026
Fibonacci numbers and a metric on coprime pairs
Mitsuaki Kimura
In this paper, we introduce a metric on the set of pairs of coprime natural numbers. We explicitly construct a quasi-isometric embedding from the set of natural numbers into this m…