Pasting of R
2-planes |
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| Authors: | Prof Dr Hansjoachim Groh |
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| Institution: | (1) FB 4 / AG 2 - Geometrie und Algebra -Technische Hochschule Darmstadt, Schloßgartenstraße 7, D-6100 Darmstadt, Bundesrepublik Deutschland |
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| Abstract: | The notion  pasting sum
(P
i
, 
i
) of two R
2-planes (or Salzmann planes) (P
i
,
i
) is developed. Necessary and sufficient conditions for it to be an R
2-plane again are given. The notion is applied to classify all flat projective planes whose collineation group contains a sub-group  with (isomorphism type of , fixed element configuration)=( 2, x). |
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| Keywords: | |
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