On metacyclic extensions

Masanari Kida[1]

  • [1] University of Electro-Communications 1-5-1 Chofugaoka Chofu Tokyo 182-8585 Japan

Journal de Théorie des Nombres de Bordeaux (2012)

  • Volume: 24, Issue: 2, page 339-353
  • ISSN: 1246-7405

Abstract

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Galois extensions with various metacyclic Galois groups are constructed by means of a Kummer theory arising from an isogeny of certain algebraic tori. In particular, our method enables us to construct algebraic tori parameterizing metacyclic extensions.

How to cite

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Kida, Masanari. "On metacyclic extensions." Journal de Théorie des Nombres de Bordeaux 24.2 (2012): 339-353. <http://eudml.org/doc/251056>.

@article{Kida2012,
abstract = {Galois extensions with various metacyclic Galois groups are constructed by means of a Kummer theory arising from an isogeny of certain algebraic tori. In particular, our method enables us to construct algebraic tori parameterizing metacyclic extensions.},
affiliation = {University of Electro-Communications 1-5-1 Chofugaoka Chofu Tokyo 182-8585 Japan},
author = {Kida, Masanari},
journal = {Journal de Théorie des Nombres de Bordeaux},
language = {eng},
month = {6},
number = {2},
pages = {339-353},
publisher = {Société Arithmétique de Bordeaux},
title = {On metacyclic extensions},
url = {http://eudml.org/doc/251056},
volume = {24},
year = {2012},
}

TY - JOUR
AU - Kida, Masanari
TI - On metacyclic extensions
JO - Journal de Théorie des Nombres de Bordeaux
DA - 2012/6//
PB - Société Arithmétique de Bordeaux
VL - 24
IS - 2
SP - 339
EP - 353
AB - Galois extensions with various metacyclic Galois groups are constructed by means of a Kummer theory arising from an isogeny of certain algebraic tori. In particular, our method enables us to construct algebraic tori parameterizing metacyclic extensions.
LA - eng
UR - http://eudml.org/doc/251056
ER -

References

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