Talk:Finite geometry
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It seems that a reference to the website of Alan Offer at Ghent University, "Finite Geometry Web," [1], is in order. I have added an external link to that site. Cullinane 01:59, 9 August 2005 (UTC)
[edit] Symmetry group of Fano plane
The 168 symmetries of the Fano plane play a significant role in mathematics. Hence I have added a paragraph linking to a discussion of these symmetries. That discussion is my own. For some background, see other discussions of mine on finite geometry cited at Alan Offer's compilation [2] of online finite geometry notes at Ghent University. Cullinane 13:47, 9 August 2005 (UTC)
[edit] Finite number of points
You are defining finite geometry as the system of finite number of points.How can you define a line with finite number of points while we know that a line is topologically equvalent to the interval[0,1].Threrfore finite geometry cannot hve lines.Please comment. [B.R.Ivan,BARC,India,3 January 2006]
- One can also define a field with only a finite number of points; i.e. one can add, subtract, multiply, and divide according to the conventional rules, except that only finitely many scalars exist. See finite field. When doing plane geometry in which points are pairs (x, y) of scalars from such a field, many of the usual results of plane geometry are still true. And lines in such geometries have only finitely many points. Michael Hardy 23:41, 3 January 2006 (UTC)
[edit] Finite geometry vs. finite plane geometry
The article discussed finite plane geometry as though it were the whole of finite geometry. This introduced errors in the discussion of finite projective geometry, where properties of finite projective planes were discussed as though they were properties of a general finite projective geometry. I revised the article to correct this. Cullinane 01:35, 15 February 2006 (UTC)