Subgroups of arbitrary even ordinary depth
نویسندگان
1 Department of Algebra, Budapest University of Technology and Economics, H-1111 Budapest, M˝ uegyetem rkp. 3–9, Hungary
2 Lehrstuhl für Algebra und Zahlentheorie, RWTH Aachen University, Pontdriesch 14-16, D-52062 Aachen, German
3 Department of Algebra, Budapest University of Technology and Economics, H-1111 Budapest, M˝ uegyetem rkp. 3–9, Hungary
doi
10.22108/ijgt.2020.123551.1628چکیده
We show that for each positive integer $n$, there exist a group $G$ and a subgroup $H$ such that the ordinary depth $d(H, G)$ is $2n$. This solves the open problem posed by Lars Kadison whether even ordinary depth larger than $6$ can occur.
