PSL$(2,7)$ septimic fields with a power basis

Lavallee, Melisa J.; Spearman, Blair K.; Yang, Qiduan

doi:10.5802/jtnb.801

PSL

(2, 7)

septimic fields with a power basis

Lavallee, Melisa J.¹ ; Spearman, Blair K.¹ ; Yang, Qiduan ¹

¹ Department of Mathematics and Statistics University of British Columbia Okanagan Kelowna, BC, Canada, V1V 1V7

Journal de théorie des nombres de Bordeaux, Tome 24 (2012) no. 2, pp. 369-375.

Résumé
Abstract

Nous donnons un ensemble infini de corps de degré $7$ monogènes distincts dont la clôture normale a pour groupe de Galois $P S L (2, 7)$ .

We give an infinite set of distinct monogenic septimic fields whose normal closure has Galois group $P S L (2, 7)$ .

MR Zbl

DOI : 10.5802/jtnb.801

Classification : 11R04, 11R32
Mots clés : Galois Group, Septimic Field, Power Basis

Affiliations des auteurs :

Lavallee, Melisa J. ¹ ; Spearman, Blair K. ¹ ; Yang, Qiduan ¹

¹ Department of Mathematics and Statistics University of British Columbia Okanagan Kelowna, BC, Canada, V1V 1V7

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     author = {Lavallee, Melisa J. and Spearman, Blair K. and Yang, Qiduan},
     title = {PSL$(2,7)$ septimic fields with a power basis},
     journal = {Journal de th\'eorie des nombres de Bordeaux},
     pages = {369--375},
     publisher = {Soci\'et\'e Arithm\'etique de Bordeaux},
     volume = {24},
     number = {2},
     year = {2012},
     doi = {10.5802/jtnb.801},
     zbl = {1280.11062},
     mrnumber = {2950697},
     language = {en},
     url = {http://www.numdam.org/articles/10.5802/jtnb.801/}
}

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Lavallee, Melisa J.; Spearman, Blair K.; Yang, Qiduan. PSL$(2,7)$ septimic fields with a power basis. Journal de théorie des nombres de Bordeaux, Tome 24 (2012) no. 2, pp. 369-375. doi : 10.5802/jtnb.801. http://www.numdam.org/articles/10.5802/jtnb.801/

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