DODECIC 3-ADIC FIELDS-Reference-Cited by-同舟云学术

DODECIC 3-ADIC FIELDS

Published:2012-05-16 Issue:04 Volume:08 Page:933-944
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

AWTREY CHAD¹

Affiliation:

1. Department of Mathematics and Statistics, Elon University, Campus Box 2320, Elon, NC 27244, USA

Abstract

Let n be an integer and p be a prime number. An important problem in number theory is to classify the degree n extensions of the p-adic numbers through their arithmetic invariants. The most difficult cases arise when p divides n and n is composite. In this paper, we consider the case n = 12 and p = 3; the degrees n < 12 having previously been determined.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042112500558

Reference15 articles.

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