Vol. 11, No. 1, 2010

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Transitive groups of axial homologies of hyperbola structures and Minkowski planes

Hans-Joachim Kroll and Andrzej Matraś

Vol. 11 (2010), No. 1, 1–18
Abstract

In this paper a typification of the automorphism groups of hyperbola structures based on the notion of axial homologies (i.e. automorphisms fixing two generators of the same kind) is given. For the class of hyperbola structures over half-ordered fields the types of the full automorphism groups are determined.

Keywords
axial homology, hyperbola structure, Minkowski plane
Mathematical Subject Classification 2010
Primary: 51B20
Milestones
Received: 22 June 2006
Accepted: 12 December 2008
Authors
Hans-Joachim Kroll
Andrzej Matraś