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GROUPS WITH FEW NONPOWER SUBGROUPS
Published online by Cambridge University Press: 10 August 2023
Abstract
For a group G and $m\ge 1$, let $G^m$ denote the subgroup generated by the elements $g^m$, where g runs through G. The subgroups not of the form $G^m$ are the nonpower subgroups of G. We classify the groups with at most nine nonpower subgroups.
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- Research Article
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- © The Author(s), 2023. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.
Footnotes
This work was supported by the National Natural Science Foundation of China (11971391, 12071376).