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J. Andre constructed a skewaffine structure as a group space of a normally transitive group. In this paper his construction is used to describe the structure of the set of circles not passing through a point of a Laguerre plane. Sufficient conditions to ensure that this structure is a skewaffine plane are given.
Andrzej Matraś. "A Construction of a Skewaffine Structure in Laguerre Geometry." Bulletin of the Polish Academy of Sciences. Mathematics 54.3 (2006): 277-289. <http://eudml.org/doc/280250>.
@article{AndrzejMatraś2006, abstract = {J. Andre constructed a skewaffine structure as a group space of a normally transitive group. In this paper his construction is used to describe the structure of the set of circles not passing through a point of a Laguerre plane. Sufficient conditions to ensure that this structure is a skewaffine plane are given.}, author = {Andrzej Matraś}, journal = {Bulletin of the Polish Academy of Sciences. Mathematics}, keywords = {Laguerre plane; skewaffine plane; group space}, language = {eng}, number = {3}, pages = {277-289}, title = {A Construction of a Skewaffine Structure in Laguerre Geometry}, url = {http://eudml.org/doc/280250}, volume = {54}, year = {2006}, }
TY - JOUR AU - Andrzej Matraś TI - A Construction of a Skewaffine Structure in Laguerre Geometry JO - Bulletin of the Polish Academy of Sciences. Mathematics PY - 2006 VL - 54 IS - 3 SP - 277 EP - 289 AB - J. Andre constructed a skewaffine structure as a group space of a normally transitive group. In this paper his construction is used to describe the structure of the set of circles not passing through a point of a Laguerre plane. Sufficient conditions to ensure that this structure is a skewaffine plane are given. LA - eng KW - Laguerre plane; skewaffine plane; group space UR - http://eudml.org/doc/280250 ER -