In this paper we introduce the notion of generalized T -semiaffine linear space of finite dimension at least three, T being a suitable set of non–negative integers, and discuss generalized [s, t]-semiaffine linear spaces for suitable s ≤ t. We will present theorems on generalized {0, 1}-semiaffine linear spaces whose lines have length at least 4 and on finite generalized [0, 2]-semiaffine linear spaces, improving known results of Van Maldeghem and Kreuzer. In particular, finite generalized [0, 2]-semiaffine linear spaces whose lines have at least nine points are classified.
Generalized Semiaffine Linear Spaces
FERRARA DENTICE, Eva;
2016
Abstract
In this paper we introduce the notion of generalized T -semiaffine linear space of finite dimension at least three, T being a suitable set of non–negative integers, and discuss generalized [s, t]-semiaffine linear spaces for suitable s ≤ t. We will present theorems on generalized {0, 1}-semiaffine linear spaces whose lines have length at least 4 and on finite generalized [0, 2]-semiaffine linear spaces, improving known results of Van Maldeghem and Kreuzer. In particular, finite generalized [0, 2]-semiaffine linear spaces whose lines have at least nine points are classified.File in questo prodotto:
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