### Abstract

The torsion group of a radical field extension is defined and its structure determined using a theorem of Kneser. In the case of a number field, a representation theorem is proved characterizing all abelian groups that can appear as torsiongroups of a radical extension.

Original language | English (US) |
---|---|

Pages (from-to) | 317-327 |

Number of pages | 11 |

Journal | Pacific Journal of Mathematics |

Volume | 92 |

Issue number | 2 |

State | Published - 1981 |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Pacific Journal of Mathematics*,

*92*(2), 317-327.

**The torsion group of a radical extension.** / Gay, David; Velez, William Yslas.

Research output: Contribution to journal › Article

*Pacific Journal of Mathematics*, vol. 92, no. 2, pp. 317-327.

}

TY - JOUR

T1 - The torsion group of a radical extension

AU - Gay, David

AU - Velez, William Yslas

PY - 1981

Y1 - 1981

N2 - The torsion group of a radical field extension is defined and its structure determined using a theorem of Kneser. In the case of a number field, a representation theorem is proved characterizing all abelian groups that can appear as torsiongroups of a radical extension.

AB - The torsion group of a radical field extension is defined and its structure determined using a theorem of Kneser. In the case of a number field, a representation theorem is proved characterizing all abelian groups that can appear as torsiongroups of a radical extension.

UR - http://www.scopus.com/inward/record.url?scp=84972545099&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84972545099&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84972545099

VL - 92

SP - 317

EP - 327

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

SN - 0030-8730

IS - 2

ER -