Groups with a given number of nonpower subgroups

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.

Show simple item record

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


Files in this item

This item appears in the following Collection(s)

Show simple item record