Galois realizability of groups of order 64
Open Mathematics (2010)
- Volume: 8, Issue: 5, page 846-854
- ISSN: 2391-5455
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topHelen Grundman, and Tara Smith. "Galois realizability of groups of order 64." Open Mathematics 8.5 (2010): 846-854. <http://eudml.org/doc/269453>.
@article{HelenGrundman2010,
abstract = {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.},
author = {Helen Grundman, Tara Smith},
journal = {Open Mathematics},
keywords = {Inverse Galois theory; 2-groups; inverse Galois theory; obstructions; embedding problem; quaternion algebra},
language = {eng},
number = {5},
pages = {846-854},
title = {Galois realizability of groups of order 64},
url = {http://eudml.org/doc/269453},
volume = {8},
year = {2010},
}
TY - JOUR
AU - Helen Grundman
AU - Tara Smith
TI - Galois realizability of groups of order 64
JO - Open Mathematics
PY - 2010
VL - 8
IS - 5
SP - 846
EP - 854
AB - 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.
LA - eng
KW - Inverse Galois theory; 2-groups; inverse Galois theory; obstructions; embedding problem; quaternion algebra
UR - http://eudml.org/doc/269453
ER -
References
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