A quadratic analogue of Serre's theorem on projective modules
β Scribed by Inta Bertuccioni
- Publisher
- Springer
- Year
- 1987
- Tongue
- English
- Weight
- 504 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0920-3036
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let = be a fundamental unit in a real quadratic field and let S be the set of rational primes p for which = has maximal order modulo p. Under the assumption of the generalized Riemann hypothesis, we show that S has a density $(S)=c } A in the set of all rational primes, where A is Artin's constant 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)