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arXiv · 1902.00512

Subgroups of arbitrary even ordinary depth

Hayder Abbas Janabi·Thomas Breuer·Erzsebet Horvath
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Abstract

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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Hayder Abbas Janabi, Thomas Breuer, Erzsebet Horvath. 2020-06-17. Subgroups of arbitrary even ordinary depth. https://arxiv.org/abs/1902.00512

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