Anabanti, Chimere and Hart, Sarah (2022) Groups with a given number of nonpower subgroups. Bulletin of the Australian Mathematical Society 106 (2), pp. 315-319. ISSN 0004-9727.
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Groups with a given number of nonpower subgroups acccepted Bull Aust Math Soc.pdf - Author's Accepted Manuscript Available under License Creative Commons Attribution Non-commercial No Derivatives. Download (250kB) | Preview |
Official URL: https://doi.org/10.1017/S0004972721001179
Abstract
It is well-known that no group has either exactly 1 or exactly 2 nonpower subgroups. In this paper, we obtain a classification of groups containing exactly 3 nonpower subgroups. Moreover, we show that there is a unique finite group with exactly 4 nonpower subgroups. Finally, we show that given any integer k greater than 4, there are infinitely many groups with exactly k nonpower subgroups.
Metadata
| Item Type: | Article |
|---|---|
| School: | Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences |
| Depositing User: | Sarah Hart |
| Date Deposited: | 11 Nov 2021 13:11 |
| Last Modified: | 09 Aug 2023 12:52 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/46349 |
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