An algebraic-metric equivalence relation over p-adic fields

Marian Vâjâitu, Alexandru Zaharescu

Research output: Contribution to journalArticlepeer-review


Let p be a prime number, Q p the field of p-adic numbers, K a finite field extension of Q p, K̄ a fixed algebraic closure of K and C p the completion of K̄ with respect to the p-adic valuation. We introduce and investigate an equivalence relation on C p, defined in terms of field extensions and metric properties of Galois orbits over K.

Original languageEnglish (US)
Pages (from-to)715-720
Number of pages6
JournalGlasgow Mathematical Journal
Issue number3
StatePublished - Sep 2012

ASJC Scopus subject areas

  • Mathematics(all)


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