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Physical Sciences and Mathematics Commons

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Mathematics

Bryn Mawr College

1996

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Full-Text Articles in Physical Sciences and Mathematics

Automatic Realizability Of Galois Groups Of Order 16, Helen G. Grundman, Tara L. Smith Sep 1996

Automatic Realizability Of Galois Groups Of Order 16, Helen G. Grundman, Tara L. Smith

Mathematics Faculty Research and Scholarship

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.