On soluble groups in which commutators have prime power order
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916346046971904 |
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| author | Figueiredo, Mateus Shumyatsky, Pavel |
| author_facet | Figueiredo, Mateus Shumyatsky, Pavel |
| contents | The article deals with finite groups in which commutators have prime power order (CPPO-groups). We show that if G is a soluble CPPO-group, then the order of the commutator subgroup G' is divisible by at most two primes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_01974 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On soluble groups in which commutators have prime power order Figueiredo, Mateus Shumyatsky, Pavel Group Theory The article deals with finite groups in which commutators have prime power order (CPPO-groups). We show that if G is a soluble CPPO-group, then the order of the commutator subgroup G' is divisible by at most two primes. |
| title | On soluble groups in which commutators have prime power order |
| topic | Group Theory |
| url | https://arxiv.org/abs/2408.01974 |