Zeta function of the Burnside ring forCp3 | Synapse
March 3, 2026Open Access
Zeta function of the Burnside ring forCp3
Key Points
The study determines the Zeta function of the Burnside ring for cyclic groups of order p³, and explores its mathematical properties.
Key results include connections between local and global Zeta functions and their implications for algebraic structures.
Analysis focuses on the Burnside ring, contributing to the exploration of cyclic group properties.
Findings highlight significant relations in the Zeta function, indicating potential applications in group theory.
Abstract
The main objective of this paper is to determine the local andglobal Zeta function ofB(Cp3)the Burnside ring for cyclic groups of orderp3and, to study some relations that fulfill this Zeta function.