On numbers which are orders of nilpotent groups with bounded class

Document Type : Ischia Group Theory 2022

Author

Dipartimento di Matematica e Fisica, Università degli Studi della Campania “Luigi Vanvitelli”, viale Lincoln 5, Caserta (Italy)

Abstract

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 $n$.

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Volume 14, Issue 2 - Serial Number 2
Proceedings of the Ischia Group Theory 2022-Part 3
June 2025
Pages 93-97
  • Receive Date: 06 June 2023
  • Revise Date: 27 December 2023
  • Accept Date: 30 December 2023
  • Published Online: 06 January 2024