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ISOLATED SUBGROUPS OF FINITE p-GROUPS
Published online by Cambridge University Press: 01 October 2021
Abstract
We say that a subgroup H is isolated in a group G if for each
$x\in G$
either
$x\in H$
or
$\langle x\rangle \cap H={1}$
. We determine the structure of finite p-groups with isolated minimal nonabelian subgroups and finite p-groups with an isolated metacyclic subgroup.
MSC classification
- Type
- Research Article
- Information
- Copyright
- © 2021 Australian Mathematical Publishing Association Inc.
Footnotes
This work was supported by NSFC (Nos. 11901367 and 11971280).
References
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