Some self-dual local rings of integers not free over their associated orders
Published online by Cambridge University Press: 24 October 2008
Extract
Let p be a prime number, and let K be a finite extension of the rational p-adic field ℚp. Let L/K be a finite abelian extension with Galois group G, and let L, K denote the valuation rings of L, K respectively. Then L is a free module of rank 1 over the group algebra KG. Defining the associated order of the extension L/K by
L can be viewed as a module over the ring , and a fortiori over the group ring KG.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 110 , Issue 1 , July 1991 , pp. 5 - 10
- Copyright
- Copyright © Cambridge Philosophical Society 1991
References
REFERENCES
- 3
- Cited by