Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1443

 Title: Geometry over two Arbitrary Arithmetic Progressions Authors: Stanilov, GrozioFilipova, Liudmila Keywords: Arithmetic ProgressionKlein GeometryInvariantCross ProductGroup Issue Date: 22-Nov-2010 Publisher: University Press "Paisii Hilendarski", Plovdiv Abstract: We consider quadrate matrices with elements of the first row members of an arithmetic progression and of the second row members of other arithmetic progression. We prove the set of these matrices is a group. Then we give a parameterization of this group and investigate about some invariants of the corresponding geometry. We find an invariant of any two points and an invariant of any sixth points. All calculations are made by Maple. URI: http://hdl.handle.net/10525/1443 ISBN: 9789544236489 Appears in Collections: REMIA 2010

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