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Rendiconti del Circolo Matematico di Palermo

, Volume 33, Issue 1, pp 85–98 | Cite as

Sui piani di André generalizzati di dimensione 2(2n+1)

  • Andrea Caggegi
Article

Abstract

In this note we prove, among other things, the following theorem:Let π be a generalized André plane of rank 2 (2n+1), n positive integer, over its kernel. If π contains a collineation σ such that {(0),(∞)} σ≠{(0),(∞)}, then |Δ((∞), [0, 0])|=|Δ((0), [0])|≤2 where Δ ((∞), [0, 0]) (resp. Δ ((0), [0])) is the group of all homologies of π with centre (∞) and axis [0, 0] (resp. with centre (0) and axis [0]).

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Copyright information

© Springer 1984

Authors and Affiliations

  • Andrea Caggegi
    • 1
  1. 1.Istituto di MatematicaNapoli

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