Simple collineation groups with perspectivities of finite translation planes

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On collineation groups of finite planes

From the Introduction to P. Dembowski’s Finite Geometries, Springer, Berlin 1968: “ . . . An alternative approach to the study of projective planes began with a paper by BAER 1942 in which the close relationship between Desargues’ theorem and the existence of central collineations was pointed out. Baer’s notion of (p, L)–transitivity, corresponding to this relationship, proved to be extremely f...

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Collineation Groups of Translation Planes of Small Dimension

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Let V be a vector space of finite dimension n over a finite field GF(q). Let Lk(V ) denote the set of k-dimensional subspaces of V. Several authors have studied groups acting on Lk(V ) for various k. Wagner [9] considered groups which act doubly transitively on LI(V ). Recently Kantor [6] has shown that most groups which act transitively on L2(V) also act doubly transitively on LI(V ). This pap...

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2004

ISSN: 0021-8693

DOI: 10.1016/j.jalgebra.2004.01.013