Article contents
GROUPS WITH A GIVEN NUMBER OF NONPOWER SUBGROUPS
Published online by Cambridge University Press: 10 January 2022
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.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 106 , Issue 2 , October 2022 , pp. 315 - 319
- Copyright
- © The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.
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