On the Structure of Collineation Groups of Finite Projective Planes
نویسندگان
چکیده
منابع مشابه
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...
متن کاملOn Collineation Groups of Finite Projective Spaces
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...
متن کاملOn 2-transitive Collineation Groups of Finite Projective Spaces
In 1961, A. Wagner proposed the problem of determining all the subgroups of PΓL(n> q) which are 2-transitive on the points of the projective space PGin — l,q), where n ^ 3. The only known groups with this property are: those containing PSL^n, q), and subgroups of PSL(4, 2) isomorphic to A7. It seems unlikely that there are others, Wagner proved that this is the case when n ^ 5. In unpublished w...
متن کاملthe structure of lie derivations on c*-algebras
نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
15 صفحه اولLine-transitive Collineation Groups of Finite Projective Spaces
A collineation group F of PG(d, q), d >= 3, which is transitive on lines is shown to be 2-transitive on points unless d = 4, q = 2 and ] F ] = 31'5. m m
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ژورنال
عنوان ژورنال: Proceedings of the London Mathematical Society
سال: 1976
ISSN: 0024-6115
DOI: 10.1112/plms/s3-32.3.385