On numbers which are orders of nilpotent groups with bounded class

Autor: Maria Ferrara
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: International Journal of Group Theory, Vol 14, Iss 2, Pp 93-97 (2024)
Druh dokumentu: article
ISSN: 2251-7650
2251-7669
DOI: 10.22108/ijgt.2023.137950.1851
Popis: Let $n$ be a positive integer. In this short note, we characterize those numbers $m$ for which any group of order $m$ is an $n$-Engel group and those numbers $m$ for which any group of order $m$ has all its subgroups subnormal of defect at most $n$.
Databáze: Directory of Open Access Journals