This article examines the realizability of groups of order 64 as Galois groups over arbitrary fields. Specifically, we provide necessary and sufficient conditions for the realizability of 134 of the 200 noncyclic groups of order 64 that are not direct products of smaller groups.
@article{bwmeta1.element.doi-10_2478_s11533-010-0052-1,
author = {Helen Grundman and Tara Smith},
title = {Galois realizability of groups of order 64},
journal = {Open Mathematics},
volume = {8},
year = {2010},
pages = {846-854},
zbl = {1256.12003},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0052-1}
}
Helen Grundman; Tara Smith. Galois realizability of groups of order 64. Open Mathematics, Tome 8 (2010) pp. 846-854. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0052-1/
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