TY - JOUR

T1 - Continuability of cyclic extensions of complete discrete valuation fields

AU - Boitsov, V. G.

AU - Zhukov, I. B.

PY - 2005/9/1

Y1 - 2005/9/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=24344484684&partnerID=8YFLogxK

U2 - 10.1007/s10958-005-0359-9

DO - 10.1007/s10958-005-0359-9

M3 - Article

AN - SCOPUS:24344484684

VL - 130

SP - 4643

EP - 4650

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 3

ER -