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- Title
Continuability of Cyclic Extensions of Complete Discrete Valuation Fields.
- Authors
Boitsov, V.; Zhukov, I.
- Abstract
For a complete discrete valuation field K of characteristic 0 with residue field of characteristic p > 0, consider the problem of embedding a given cyclic extension M/K of degree p into a cyclic extension of degree pn for various n. Let c(M/K) be equal to the maximal n for which this embedding problem has a solution. In this paper we consider relations between c(M/K) and c(LM/L), where L/K is a given extension linearly disjoint with M/K. Bibliography: 5 titles.
- Subjects
EMBEDDINGS (Mathematics); ALGEBRAIC geometry; EMBEDDING theorems; MATHEMATICS; DISCRETE groups
- Publication
Journal of Mathematical Sciences, 2005, Vol 130, Issue 3, p4643
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-005-0359-9