任意偶数普通深度的子群

arXiv: Group Theory Pub Date : 2019-02-01 DOI:10.22108/IJGT.2020.123551.1628

Hayder Abbas Janabi, T. Breuer, E. Horváth

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引用次数: 1

摘要

我们证明了对于每一个正整数$n$，存在一个群$G$和一个子群$H$，使得普通深度为$d(H, G) = 2n$。这就解决了Lars Kadison提出的问题，即是否会出现大于$6$的普通深度。

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Subgroups of arbitrary even ordinary depth

We show that for each positive integer $n$, there are a group $G$ and a subgroup $H$ such that the ordinary depth is $d(H, G) = 2n$. This solves the open problem posed by Lars Kadison whether even ordinary depth larger than $6$ can occur.

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arXiv: Group Theory

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