Conductors of fractional ideals in Burnside rings for cyclic p-groups and their zeta function
Year: 2025
Type: article
Abstract: 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.
Source: Revista Integración
Authors: Benemérita Universidad Autónoma de Puebla, Facultad de Ciencias FísicoMatemáticas, Puebla, México, David Villa-Hernández, Juan Manuel Ramírez-Contreras, Cristhian Vázquez-Rosas, Universidad Digital del Estado de México, Informática Administrativa, Toluca,México
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4411316000