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arXiv · 2208.12982

Relatively projective pro-$p$ groups

Dan Haran·Pavel A. Zalesskii
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Abstract

It is known that the Kurosh Subgroup Theorem does not hold for pro-$p$ groups of big cardinality. However, a subgroup $G$ of a free pro-$p$ product is projective relative to the Kurosh family of subgroups. In this paper we prove the converse of this fact.

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Dan Haran, Pavel A. Zalesskii. 2022-08-27. Relatively projective pro-$p$ groups. https://arxiv.org/abs/2208.12982

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