From Möbius to gyrogroups. (English) Zbl 1152.30045

Ungar, Abraham A.

Am. Math. Mon. 115, No. 2, 138-144 (2008).

The authors study the bridge between Moebius and gyrogroups. The connection was established in 1988 and there has been some literature on this. They generalise results from the former to the latter and they mention that this generalisation would not stop at this stage and go further to gyrovector spaces.

Reviewer: Ismail Naci Cangül (Bursa)

MSC:

30F35

Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization)

Keywords:

Moebius groups; gyrogroups