Abstract
The notion ‘pasting sum’ \(\underline{\underline {F\omega }}\) (Pi, ℒi) of two R2-planes (or Salzmann planes) (Pi, ℒi) is developed. Necessary and sufficient conditions for it to be an R2-plane again are given. The notion is applied to classify all flat projective planes whose collineation group contains a sub-group Δ with (isomorphism type of Δ, fixed element configuration)=(ℝ2, x).
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