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math.CA2026
Counterexamples to Hardy--Littlewood maximal inequalities on solvable groups
Koji Fujiwara
We prove that the centered Hardy--Littlewood maximal operator is not of weak type for any in three solvable settings: the lamplighter group $(\mathbb{Z}/2\m…
math.GT2026
Finite covers of a product of surfaces with bounded rank and arbitrarily large systole
Koji Fujiwara
We construct finite covers of a fixed product of two closed hyperbolic surfaces of genus two whose fundamental groups are generated by at most fifteen elements and whose injectivit…
math.GR2026
Small growth rates of free groups
Koji Fujiwara, Sang-hyun Kim, Ryokichi Tanaka
We introduce the notion of a Magnus marking for a finite generating set of a group and prove a certain expansion property. Using this property, we determine the second and third sm…