Automatic Realizability of Galois Groups of Order 16

Authors

Helen G. Grundman, Bryn Mawr CollegeFollow
Tara L. Smith

Document Type

Article

Version

Publisher's PDF

Publication Title

Proceedings of the American Mathematical Society

Volume

124

Publication Date

9-1996

Abstract

This article examines the realizability of small groups of order 2(k), k less than or equal to 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's Statement

First published in Proceedings of the American Mathematical Society in 1996, published by the American Mathematical Society.

Citation

Grundman, Helen G., and Tara L. Smith. "Automatic Realizability of Galois Groups of Order 16." Proc. Amer. Math. Soc. 124 (1996): 2631-2641.

DOI

10.1090/S0002-9939-96-03345-X