On collineation groups of finite projective spaces
نویسندگان
چکیده
منابع مشابه
On 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...
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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 In unpublished w...
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We prove the result asserted in the title. The object of this note is to prove the assertion of its title in a slightly more precise form that shows that one can somewhat control the normal representation at a fixed point and that there is an infinite amount of choice for the rational Pontrjagin classes. This result is in sharp contrast to a conjecture of Ted Pétrie [5] that only homotopy CP"'s...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 1972
ISSN: 0025-5874,1432-1823
DOI: 10.1007/bf01122320