Conductors of fractional ideals in Burnside rings for cyclic p-groups and their zeta function
This study is part of the zeta function of the Burnside ring study. The main objective of this paper is to determine the conductors of all isomorphism classes of fractional ideals of finite index in Bp(Cp^n ) the Burnside ring for cyclic groups of order p^n, which leads to a new explicit formula fo...
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| Format: | Article |
| Language: | Spanish |
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Universidad Industrial de Santander
2025-05-01
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| Series: | Revista Integración |
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| Online Access: | https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/16331 |
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| author | David Villa Hernández Juan Manuel Ramírez Contreras Cristhian Vázquez Rosas |
| author_facet | David Villa Hernández Juan Manuel Ramírez Contreras Cristhian Vázquez Rosas |
| author_sort | David Villa Hernández |
| collection | DOAJ |
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This study is part of the zeta function of the Burnside ring study. The main objective of this paper is to determine the conductors of all isomorphism classes of fractional ideals of finite index in Bp(Cp^n ) the Burnside ring for cyclic groups of order p^n, which leads to a new explicit formula for ζBp(Cp^n )(s) the zeta function of Bp(Cp^n ), and we present a conjecture in which we establish when a fractional ideal M of Bp(Cp^n ) has a Zp-order structure, according to its ZBp(Cp^n ) (M; s) function.
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| format | Article |
| id | doaj-art-ff3298c0c4d14f2bbdd4bd75e0d92020 |
| institution | OA Journals |
| issn | 0120-419X 2145-8472 |
| language | Spanish |
| publishDate | 2025-05-01 |
| publisher | Universidad Industrial de Santander |
| record_format | Article |
| series | Revista Integración |
| spelling | doaj-art-ff3298c0c4d14f2bbdd4bd75e0d920202025-08-20T02:30:36ZspaUniversidad Industrial de SantanderRevista Integración0120-419X2145-84722025-05-0143110.18273/revint.v43n1-2025001Conductors of fractional ideals in Burnside rings for cyclic p-groups and their zeta functionDavid Villa Hernández0Juan Manuel Ramírez Contreras1Cristhian Vázquez Rosas2Benemérita Universidad Autónoma de PueblasUniversidad Digital del Estado de MéxicoBenemérita Universidad Autónoma de Pueblas This study is part of the zeta function of the Burnside ring study. The main objective of this paper is to determine the conductors of all isomorphism classes of fractional ideals of finite index in Bp(Cp^n ) the Burnside ring for cyclic groups of order p^n, which leads to a new explicit formula for ζBp(Cp^n )(s) the zeta function of Bp(Cp^n ), and we present a conjecture in which we establish when a fractional ideal M of Bp(Cp^n ) has a Zp-order structure, according to its ZBp(Cp^n ) (M; s) function. https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/16331Burnside ringzeta functionfiber product |
| spellingShingle | David Villa Hernández Juan Manuel Ramírez Contreras Cristhian Vázquez Rosas Conductors of fractional ideals in Burnside rings for cyclic p-groups and their zeta function Revista Integración Burnside ring zeta function fiber product |
| title | Conductors of fractional ideals in Burnside rings for cyclic p-groups and their zeta function |
| title_full | Conductors of fractional ideals in Burnside rings for cyclic p-groups and their zeta function |
| title_fullStr | Conductors of fractional ideals in Burnside rings for cyclic p-groups and their zeta function |
| title_full_unstemmed | Conductors of fractional ideals in Burnside rings for cyclic p-groups and their zeta function |
| title_short | Conductors of fractional ideals in Burnside rings for cyclic p-groups and their zeta function |
| title_sort | conductors of fractional ideals in burnside rings for cyclic p groups and their zeta function |
| topic | Burnside ring zeta function fiber product |
| url | https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/16331 |
| work_keys_str_mv | AT davidvillahernandez conductorsoffractionalidealsinburnsideringsforcyclicpgroupsandtheirzetafunction AT juanmanuelramirezcontreras conductorsoffractionalidealsinburnsideringsforcyclicpgroupsandtheirzetafunction AT cristhianvazquezrosas conductorsoffractionalidealsinburnsideringsforcyclicpgroupsandtheirzetafunction |