Groups with at most 13 nonpower subgroups
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866915770651377664 |
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| author | Zheng, Jiwei Zhou, Wei Taylor, D. E. |
| author_facet | Zheng, Jiwei Zhou, Wei Taylor, D. E. |
| contents | For a group G and positive interger m, Gm denotes the subgroup generated by the elements gm where g runs through G. The subgroups not of the form Gm are called nonpower subgroups. We extend the classification of groups with few nonpower subgroups from groups with at most 9 nonpower subgroups to groups with at most 13 nonpower subgroups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_11113 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Groups with at most 13 nonpower subgroups Zheng, Jiwei Zhou, Wei Taylor, D. E. Group Theory 20D25, 20D60 For a group G and positive interger m, Gm denotes the subgroup generated by the elements gm where g runs through G. The subgroups not of the form Gm are called nonpower subgroups. We extend the classification of groups with few nonpower subgroups from groups with at most 9 nonpower subgroups to groups with at most 13 nonpower subgroups. |
| title | Groups with at most 13 nonpower subgroups |
| topic | Group Theory 20D25, 20D60 |
| url | https://arxiv.org/abs/2309.11113 |