A note on quasi-Steiner hypergroupoids

Abstract

The class of hyperstructures called quasi-Steiner hypergroupoids are studied and their group of automorphisms are found in some interesting cases. In particular, there exist quasi-Steiner hypergroupoids (H, ○) which group of automorphisms is exactly the group of automorphisms fixing a point and a line in the geometric space associated to (H, ○).

Keywords and phrases:

• Algebraic automorphism
• geometric automorphism
• quasi-Steiner hypergroupoid