The torsion group of a field defined by radicals

Maria Acosta de Orozco; William Yslas Velez

doi:10.1016/0022-314X(84)90112-4

The torsion group of a field defined by radicals

Maria Acosta de Orozco
, William Yslas Velez

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

Let L F be a finite separable extension, L^* = L{0}, and T( L^* F^*) the torsion subgroup of L^* F^*. When L F is an abelian extension T( L^* F^*) is explicitly determined. This information is used to study the structure of T( L^* F^*). In particular, T( F(α)^* F^*) when a^m = a ∈ F is explicitly determined.

Original language	English (US)
Pages (from-to)	283-294
Number of pages	12
Journal	Journal of Number Theory
Volume	19
Issue number	2
DOIs	https://doi.org/10.1016/0022-314X(84)90112-4
State	Published - Oct 1984
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/0022-314X(84)90112-4

Cite this

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title = "The torsion group of a field defined by radicals",

abstract = "Let L F be a finite separable extension, L* = L\{0\}, and T( L* F*) the torsion subgroup of L* F*. When L F is an abelian extension T( L* F*) is explicitly determined. This information is used to study the structure of T( L* F*). In particular, T( F(α)* F*) when am = a ∈ F is explicitly determined.",

author = "\{de Orozco\}, \{Maria Acosta\} and Velez, \{William Yslas\}",

note = "Funding Information: * This material is based upon work supported in part by National Science Foundation Grant PRM 82-13782.",

year = "1984",

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doi = "10.1016/0022-314X(84)90112-4",

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journal = "Journal of Number Theory",

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AU - de Orozco, Maria Acosta

AU - Velez, William Yslas

N1 - Funding Information: * This material is based upon work supported in part by National Science Foundation Grant PRM 82-13782.

PY - 1984/10

Y1 - 1984/10

N2 - Let L F be a finite separable extension, L* = L{0}, and T( L* F*) the torsion subgroup of L* F*. When L F is an abelian extension T( L* F*) is explicitly determined. This information is used to study the structure of T( L* F*). In particular, T( F(α)* F*) when am = a ∈ F is explicitly determined.

AB - Let L F be a finite separable extension, L* = L{0}, and T( L* F*) the torsion subgroup of L* F*. When L F is an abelian extension T( L* F*) is explicitly determined. This information is used to study the structure of T( L* F*). In particular, T( F(α)* F*) when am = a ∈ F is explicitly determined.

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The torsion group of a field defined by radicals

Abstract

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