Representation zeta function of a family of maximal class groups: Non-exceptional primes

Pub Date : 2024-03-07 DOI:10.1515/jgth-2022-0213

Shannon Ezzat

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引用次数: 0

Abstract

We use a constructive method to obtain all but finitely many 𝑝-local representation zeta functions of a family of finitely generated nilpotent groups M n

M_{n}

with maximal nilpotency class. For representation dimensions coprime to all primes p < n

p<n

, we construct all irreducible representations of M n

M_{n}

by defining a standard form for the matrices of these representations.

查看原文

最大类群族的表示zeta函数：非特殊素数

我们用一种构造方法来获得具有最大无幂级数的有限生成无幂群 M n M_{n} 族的所有𝑝局部表示 zeta 函数。对于与所有素数 p < n p<n 共价的表示维数，我们通过定义这些表示的矩阵的标准形式来构造 M n M_{n} 的所有不可还原表示。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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