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Can I read Enumeration of Isomorphism Classes of Extensions of P-adic Fields on EtoBox?
Enumeration of Isomorphism Classes of Extensions of P-adic Fields by Xiang-Dong Hou; Kevin Keating is a Mathematics article available to read on EtoBox.
What is Enumeration of Isomorphism Classes of Extensions of P-adic Fields about?
Let O be an algebraic closure of Q p and let F be a finite extension of Q p contained in O: Given positive integers f and e; the number of extensions K=F contained in O with residue degree f and ramification index e was computed by Krasner. This paper is concerned with the number IðF ; f ; eÞ of F -isomorphism classes of such extensions. We determine IðF ; f ; eÞ completely when p 2 [e and get partial results when p 2 jj e: When s is large, IðQ p ; f ; eÞ is equal to the number of isomorphism classes of finite commutative chain rings with residue field F p f ; ramification
Who reads Enumeration of Isomorphism Classes of Extensions of P-adic Fields?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Xiang-Dong Hou; Kevin Keating
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-314X)
- Published
- 2004
- Language
- EN
- Field
- Mathematics (Physical Sciences)