We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
NON-INVARIANCE OF THE INDEX IN WILDLY RAMIFIED EXTENSIONS.
- Authors
DEL CORSO, ILARIA; DVORNICICH, ROBERTO
- Abstract
In this paper, we give an example of three wildly ramified extensions L1, L2, L3 of ℚ2 with the same ramification numbers and isomorphic Galois groups, such that I(nL1) > I(nL2) > I(nL3) for a suitable integer n (where I(nL) denotes the index of the ℚ2-algebra Ln). This example shows that the condition given in [2] for the invariance of the index of tamely ramified extensions is no longer sufficient in the general case.
- Subjects
MATHEMATICAL symmetry; NUMBER theory; GALOIS theory; ISOMORPHISM (Mathematics); MATHEMATICAL analysis; GROUP theory
- Publication
International Journal of Number Theory, 2010, Vol 6, Issue 8, p1855
- ISSN
1793-0421
- Publication type
Article
- DOI
10.1142/S1793042110003836