On pro-p Cappitt groups with finite exponent

Anderson Porto; Igor Lima

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arXiv · 2309.00914

On pro-p Cappitt groups with finite exponent

Anderson Porto·Igor Lima

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Abstract

A pro-p Cappitt group is a pro-p group G such that the subgroup topologically generated by all non-normal closed subgroups is a proper subgroup of G. In this paper we prove that non-abelian pro-p Cappitt groups whose torsion subgroup is closed has finite exponent. We also prove that in a pro-p Cappitt group its subgroup commutator is a procyclic central subgroup. Finally we show that pro-2 Cappitt groups of exponent 4 are pro-2 Dedekind groups. These results are pro-p versions of the generalized Dedekind groups studied by Cappitt.

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BibTeX RIS

Anderson Porto, Igor Lima. 2023-09-02. On pro-p Cappitt groups with finite exponent. https://arxiv.org/abs/2309.00914

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