Continuous cohomology and a conjecture of Serre's
β Scribed by W. Casselman; D. Wigner
- Publisher
- Springer-Verlag
- Year
- 1974
- Tongue
- English
- Weight
- 605 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0020-9910
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We fix a prime p. It is a conjecture of Serre, cf. [S], that every odd, continuous, irreducible representation As notation, for a number field F, we denote by G F its absolute Galois group. We fix embeddings @: Q / Γ C and @ p : Q / Γ Q p , and denote by p the place above p fixed by @ p . If S is a
We define a group theoretical invariant, denoted by s G , as a solution of a certain set covering problem and show that it is closely related to chl(G), the cohomology length of a p-group G. By studying s G we improve the known upper bounds for the cohomology length of a p-group and determine chl(G)