3 papers
math.MG2019
On generalized median triangles and tracing orbits
Hiroaki Nakamura, Hiroyuki Ogawa
We study generalization of median triangles on the plane with two complex parameters. By specialization of the parameters, we produce periodical motion of a triangle whose vertices…
math.GT2019
The automorphism groups of the profinite braid groups
Arata Minamide, Hiroaki Nakamura
In this paper we determine the automorphism groups of the profinite braid groups with four or more strings in terms of the profinite Grothendieck-Teichmüller group.
math.MG2018
A family of geometric operators on triangles with two complex variables
Hiroaki Nakamura, Hiroyuki Ogawa
Given a plane triangle , one can construct a new triangle whose vertices are intersections of two cevian triples of . We extend the family of operators by c…