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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.00624 |
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| _version_ | 1866912225015365632 |
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| author | Mousavi, Hamid |
| author_facet | Mousavi, Hamid |
| contents | Let $\mathfrak{Nil}$ be the class of nilpotent groups. This article explores the finiteness of meta and para-$\mathfrak{Nil}$-Hamiltonian groups or their derived subgroups when these groups contain a soluble subgroup of finite index or a non-nilpotent (or insoluble) subgroup of finite order respectively. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_00624 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on meta and para-$\mathfrak{Nil}$-Hamiltonian groups_v3 Mousavi, Hamid Group Theory 20F19, 20F22 Let $\mathfrak{Nil}$ be the class of nilpotent groups. This article explores the finiteness of meta and para-$\mathfrak{Nil}$-Hamiltonian groups or their derived subgroups when these groups contain a soluble subgroup of finite index or a non-nilpotent (or insoluble) subgroup of finite order respectively. |
| title | A note on meta and para-$\mathfrak{Nil}$-Hamiltonian groups_v3 |
| topic | Group Theory 20F19, 20F22 |
| url | https://arxiv.org/abs/2410.00624 |