All Finite Groups Act on Fake Complex Projective Spaces
نویسندگان
چکیده
منابع مشابه
All Finite Groups Act on Fake Complex Projective Spaces
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...
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 کاملString cohomology groups of complex projective spaces
Let X be a space and write LX for its free loop space equipped with the action of the circle group T given by dilation. We compute the equivariant cohomology H(LXhT;Z/p) as a module over H ∗(BT;Z/p) when X = CP for any positive integer r and any prime number p. The computation implies that the associated mod p Serre spectral sequence collapses from the E3-page. MSC: 55N91; 58E05; 55P35; 18G50
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 In unpublished w...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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1990
ISSN: 0002-9939
DOI: 10.2307/2048267