Multiplicative stability for the cohomology of finite chevalley groups
نویسندگان
چکیده
منابع مشابه
Hochschild Cohomology and Linckelmann Cohomology for Blocks of Finite Groups
Let G be a finite group, F an algebraically closed field of finite characteristic p, and let B be a block of FG. We show that the Hochschild and Linckelmann cohomology rings of B are isomorphic, modulo their radicals, in the cases where (1) B is cyclic and (2) B is arbitrary and G either a nilpotent group or a Frobenius group (p odd). (The second case is a consequence of a more general result)....
متن کاملExponents and the Cohomology of Finite Groups
We will provide an example of a p-group G which has elements of order p in some of its integral cohomology groups but which also has the property that p annihilates H̄(G;Z) for all sufficiently high i. This provides a counterexample to a conjecture of A. Adem which stated that if a finite group K has an element of order p in one of its integral cohomology groups then it has such an element in in...
متن کاملGeometric Characterizations of Finite Chevalley Groups of Type B2
Finite Moufang generalized quadrangles were classified in 1974 as a corollary to the classification of finite groups with a split BN-pair of rank 2, by P. Fong and G. M. Seitz (1973), (1974). Later on, work of S. E. Payne and J. A. Thas culminated in an almost complete, elementary proof of that classification; see Finite Generalized Quadrangles, 1984. Using slightly more group theory, first W. ...
متن کاملSmall degree representations of finite Chevalley groups in defining characteristic
We determine for all simple simply connected reductive linear algebraic groups defined over a finite field all irreducible representations in their defining characteristic of degree below some bound. These also give the small degree projective representations in defining characteristic for the corresponding finite simple groups. For large rank l our bound is proportional to l3 and for rank 11 m...
متن کاملFinite Fields, Root Systems and Orbit Numbers of Chevalley Groups
We describe combinatorial techniques to determine the numbers of semisim-ple conjugacy classes and adjoint orbits with xed class of centralizers for simply connected nite groups of Lie type.
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: Commentarii Mathematici Helvetici
سال: 1989
ISSN: 0010-2571,1420-8946
DOI: 10.1007/bf02564680