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Subgroups of arbitrary even ordinary depth | ||
| International Journal of Group Theory | ||
| دوره 10، شماره 4، اسفند 2021، صفحه 159-166 اصل مقاله (206.9 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2020.123551.1628 | ||
| نویسندگان | ||
| Hayder Janabi* 1؛ Thomas Breuer2؛ Erzsébet Horváth1 | ||
| 1Department of Algebra, Budapest University of Technology and Economics, H-1111 Budapest, M˝ uegyetem rkp. 3–9, Hungary | ||
| 2Lehrstuhl für Algebra und Zahlentheorie, RWTH Aachen University, Pontdriesch 14-16, D-52062 Aachen, German | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| ordinary depth of a subgroup؛ distance of characters؛ Cartesian product of graphs؛ wreath product | ||
| مراجع | ||
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