Relatively projective pro-p groups

Dan Haran, Pavel A. Zalesskii*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


It is known that the Kurosh Subgroup Theorem does not hold for pro-p groups of large cardinality. However, a closed subgroup 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.

Original languageEnglish
Pages (from-to)313-352
Number of pages40
JournalIsrael Journal of Mathematics
Issue number2
StatePublished - Nov 2023


FundersFunder number
Conselho Nacional de Desenvolvimento Científico e Tecnológico


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