https://revistas.uis.edu.co/index.php/revistaintegracion/issue/view/883

This study is part of the zeta function of the Burnside ringstudy. The main objective of this paper is to determine the conductors ofall isomorphism classes of fractional ideals of finite index inBp(Cpn)theBurnside ring for cyclic groups of orderpn, which leads to a new explicitformula forζBp(Cpn)(s)the zeta function ofBp(Cpn), and we present aconjecture in which we establish when a fractional ideal MofBp(Cpn)has aZp-order structure, according to its ZBp(Cpn)(M;s) function.

Publication Details

Journal
Dialnet (Universidad de la Rioja)
Published
2025-01-01
Primary Topic
Algebraic Geometry and Number Theory
Type
article
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https://revistas.uis.edu.co/index.php/revistaintegracion/issue/view/883

Dialnet (Universidad de la Rioja)
Algebraic Geometry and Number Theory
article

https://revistas.uis.edu.co/index.php/revistaintegracion/issue/view/883

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Abstract

This study is part of the zeta function of the Burnside ringstudy. The main objective of this paper is to determine the conductors ofall isomorphism classes of fractional ideals of finite index inBp(Cpn)theBurnside ring for cyclic groups of orderpn, which leads to a new explicitformula forζBp(Cpn)(s)the zeta function ofBp(Cpn), and we present aconjecture in which we establish when a fractional ideal MofBp(Cpn)has aZp-order structure, according to its ZBp(Cpn)(M;s) function.

Dialnet (Universidad de la Rioja)
Openalex Percentile: Top 40%
Algebraic Geometry and Number Theory
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https://revistas.uis.edu.co/index.php/revistaintegracion/issue/view/883 · Dialnet (Universidad de la Rioja) (2025) | TGRS Research Map | TGRS