On an Embedding Problem

Author: Yakovleva A.A.

Source: Journal of Mathematical Sciences, Volume 112, Number 4, December 2002 , pp. 4414-4418(5)

Publisher: Springer

Abstract:

The following theorem is proved. Let n be an odd integer; if all primes that occur in the canonical decomposition of the integer 16+27n^4 with odd multiplicities have the form 8m+1, 8m+3, and 8m+5, then the splitting field of the polynomial f(x)=x^4-2nx-1 is embeddable in a nonsplit extension of degree 48. Bibliography: 2 titles.

Language: English

Document Type: Research article

Affiliations: 1: St.Petersburg State Institute of Mines

Publication date: 2002-12-01

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• In this Subject: Mathematics and Statistics ,  Physics (General)
• By this author: Yakovleva A.A.

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