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

共 50 条

[41] Mild pro-p groups and the Koszulity conjectures
Minac, J.
Pasini, F. W.
Quadrelli, C.
Tan, N. D.
EXPOSITIONES MATHEMATICAE, 2022, 40 (03) : 432 - 455
[42] Fully residually free pro-p groups
Kochloukova, D. H.
Zalesskii, P. A.
JOURNAL OF ALGEBRA, 2010, 324 (04) : 782 - 792
[43] On linear just infinite pro-p groups
Jaikin-Zapirain, A
JOURNAL OF ALGEBRA, 2002, 255 (02) : 392 - 404
[44] Small maximal pro-p Galois groups
Ido Efrat
manuscripta mathematica, 1998, 95 (1) : 237 - 249
[45] Pro-p Galois groups of rank ≤ 4
Koenigsmann J.
manuscripta mathematica, 1998, 95 (2) : 251 - 271
[46] Green correspondence for virtually pro-p groups
MacQuarrie, J. W.
JOURNAL OF ALGEBRA, 2010, 323 (08) : 2203 - 2208
[47] Abelian subgroups of pro-p Galois groups
Engler, AJ
Koenigsmann, J
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 350 (06) : 2473 - 2485
[48] On Galois groups of unramified pro-p extensions
Sharifi, Romyar T.
MATHEMATISCHE ANNALEN, 2008, 342 (02) : 297 - 308
[49] Analytic pro-p groups of small dimensions
Gonzalez-Sanchez, Jon
Klopsch, Benjamin
JOURNAL OF GROUP THEORY, 2009, 12 (05) : 711 - 734
[50] Embedding properties of metabelian pro-p groups
Kochloukova, Dessislava H.
Pinto, Aline G. S.
JOURNAL OF GROUP THEORY, 2006, 9 (04) : 455 - 465

← 1 2 3 4 5 →