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

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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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Caggegi, A. Sui piani di André generalizzati di dimensione 2(2n+1). Rend. Circ. Mat. Palermo 33, 85–98 (1984). https://doi.org/10.1007/BF02844413

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  • DOI: https://doi.org/10.1007/BF02844413

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