论文标题

相对投射的Pro- $ P $组

Relatively projective pro-$p$ groups

论文作者

Haran, Dan, Zalesskii, Pavel A.

论文摘要

众所周知,黑鲁什子组定理不适合$ $ $ p $大型基数。但是,免费Pro-P $产品的亚组$ g $相对于黑鲁什子组的家族而言。在本文中,我们证明了这一事实的相反。

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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