Deciding whether a mapping torus is of full rank

Autor:	Lin, Juemin, Wu, Jianchun
Rok vydání:	2023
Předmět:	Mathematics - Group Theory
Druh dokumentu:	Working Paper
Popis:	The mapping torus induced by an automorphism $\phi$ of the free abelian group $\mathbb{Z}^n$ is a semi-direct product $G=\mathbb{Z}^n\rtimes_\phi \mathbb{Z}$. We show that whether the rank of $G$ is equal to $n+1$ is decidable. As a corollary, the rank of $\mathbb{Z}^3\rtimes_\phi \mathbb{Z}$ is decidable.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2306.07602 Zobrazit plný text záznamu View this record from Arxiv