PSL septimic fields with a power basis
Melisa J. Lavallee[1]; Blair K. Spearman[1]; Qiduan Yang[1]
- [1] Department of Mathematics and Statistics University of British Columbia Okanagan Kelowna, BC, Canada, V1V 1V7
Journal de Théorie des Nombres de Bordeaux (2012)
- Volume: 24, Issue: 2, page 369-375
- ISSN: 1246-7405
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topLavallee, Melisa J., Spearman, Blair K., and Yang, Qiduan. "PSL$(2,7)$ septimic fields with a power basis." Journal de Théorie des Nombres de Bordeaux 24.2 (2012): 369-375. <http://eudml.org/doc/251146>.
@article{Lavallee2012,
abstract = {We give an infinite set of distinct monogenic septimic fields whose normal closure has Galois group $PSL(2,7)$.},
affiliation = {Department of Mathematics and Statistics University of British Columbia Okanagan Kelowna, BC, Canada, V1V 1V7; Department of Mathematics and Statistics University of British Columbia Okanagan Kelowna, BC, Canada, V1V 1V7; Department of Mathematics and Statistics University of British Columbia Okanagan Kelowna, BC, Canada, V1V 1V7},
author = {Lavallee, Melisa J., Spearman, Blair K., Yang, Qiduan},
journal = {Journal de Théorie des Nombres de Bordeaux},
keywords = {Galois Group; Septimic Field; Power Basis; septimic fields; parametric family of fields; power integral basis; monogenic; Galois group},
language = {eng},
month = {6},
number = {2},
pages = {369-375},
publisher = {Société Arithmétique de Bordeaux},
title = {PSL$(2,7)$ septimic fields with a power basis},
url = {http://eudml.org/doc/251146},
volume = {24},
year = {2012},
}
TY - JOUR
AU - Lavallee, Melisa J.
AU - Spearman, Blair K.
AU - Yang, Qiduan
TI - PSL$(2,7)$ septimic fields with a power basis
JO - Journal de Théorie des Nombres de Bordeaux
DA - 2012/6//
PB - Société Arithmétique de Bordeaux
VL - 24
IS - 2
SP - 369
EP - 375
AB - We give an infinite set of distinct monogenic septimic fields whose normal closure has Galois group $PSL(2,7)$.
LA - eng
KW - Galois Group; Septimic Field; Power Basis; septimic fields; parametric family of fields; power integral basis; monogenic; Galois group
UR - http://eudml.org/doc/251146
ER -
References
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