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arXiv · 2205.13597

On the monomial algebra associated to the monomial characters of a finite group

Mircea Cimpoeas·Alexandru F. Radu
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Abstract

Given a finite group $G$, we study the monomial algebra $R_G$, generated by the monomial characters of $G$. In particular, we note that the integral closure of $R_G$ is contained in the algebra generated by those characters $\chi$ for which their associated Artin L-function $L(s,\chi)$ is holomorphic at $s_0\in\mathbb C\setminus\{1\}$. Also, we discuss the supercharacter theoretic case.

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BibTeXRIS

Mircea Cimpoeas, Alexandru F. Radu. 2022-05-26. On the monomial algebra associated to the monomial characters of a finite group. https://doi.org/10.2989/16073606.2022.2142862

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