We are excited to announce that the repository will soon undergo an upgrade, featuring a new look and feel along with several enhanced features to improve your experience. Please be on the lookout for further updates and announcements regarding the launch date. We appreciate your support and look forward to unveiling the improved platform soon.
dc.contributor.author | Anabanti, Chimere S.![]() |
|
dc.contributor.author | Hart, S.B.![]() |
|
dc.date.accessioned | 2023-07-05T11:04:58Z | |
dc.date.issued | 2022-10 | |
dc.description.abstract | No group has exactly one or two nonpower subgroups. We classify groups containing exactly three nonpower subgroups and show that there is a unique finite group with exactly four nonpower subgroups. Finally, we show that given any integer k greater than 4 , there are infinitely many groups with exactly k nonpower subgroups. | en_US |
dc.description.department | Mathematics and Applied Mathematics | en_US |
dc.description.embargo | 2023-07-10 | |
dc.description.librarian | hj2023 | en_US |
dc.description.uri | https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society | en_US |
dc.identifier.citation | Anabanti, C.S. & Hart, S.B. 2022, 'Groups with a given number of nonpower subgroups', Bulletin of the Australian Mathematical Society, vol. 106, no. 2, pp. 315-319, doi : 10.1017/S0004972721001179. | en_US |
dc.identifier.issn | 0004-9727 (print) | |
dc.identifier.issn | 1755-1633 (online) | |
dc.identifier.other | 10.1017/S0004972721001179 | |
dc.identifier.uri | http://hdl.handle.net/2263/91281 | |
dc.language.iso | en | en_US |
dc.publisher | Cambridge University Press | en_US |
dc.rights | © The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc. | en_US |
dc.subject | Counting subgroups | en_US |
dc.subject | Nonpower subgroups | en_US |
dc.subject | Finite groups | en_US |
dc.title | Groups with a given number of nonpower subgroups | en_US |
dc.type | Postprint Article | en_US |