Relatively projective pro-p groups

被引：1

作者：

Haran, Dan ^{[1
]}

Zalesskii, Pavel A. ^{[2
]}

机构：

[1] Tel Aviv Univ, Sackler Sch Math Sci, IL-6997801 Tel Aviv, Israel

[2] Univ Brasilia, Dept Math, BR-70910 Brasilia, DF, Brazil

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2023年 / 257卷 / 02期

关键词：

FREE-PRODUCTS;

D O I：

10.1007/s11856-023-2544-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：313 / 352

页数：40

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