Automatic realizability of Galois groups of order 16-Reference-Cited by-同舟云学术

Automatic realizability of Galois groups of order 16

Published:1996 Issue:9 Volume:124 Page:2631-2640
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Grundman Helen,Smith Tara

Abstract

This article examines the realizability of small groups of order 2 k , k ≤ 4 2^{k}, k \leq 4 , as Galois groups over arbitrary fields of characteristic not 2. In particular we consider automatic realizability of certain groups given the realizability of others.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1996-124-09/S0002-9939-96-03345-X/S0002-9939-96-03345-X.pdf

Reference9 articles.

1. [GSS:1995] H. G. Grundman, T. L. Smith and J. Swallow, Groups of order 16 as Galois groups, Expo. Math. 13 (1995), 289–319.

2. On the representations of a group as a Galois group over an arbitrary field;Jensen, C. U.,1989

3. Finite groups as Galois groups over arbitrary fields;Jensen, C. U.,1992

4. Abelian extensions of arbitrary fields;Kuyk, W.;Math. Ann.,1975

5. [L:1995] A. Ledet, On 2-groups as Galois groups, Canad. J. Math. 47 (1995), 1253–1273.

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