𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Continuous cohomology and a conjecture of Serre's

✍ 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.


πŸ“œ SIMILAR VOLUMES


Base Change, Lifting, and Serre's Conjec
✍ Chandrashekhar Khare πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 298 KB

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

Set Covering and Serre's Theorem on the
✍ ErgΓΌn YalΓ§in πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 150 KB

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)