Profinite completion of free pro-C groups

被引：0

作者：

Bar-On, Tamar ^{[1
]}

机构：

[1] Bar Ilan Univ, Dept Math, IL-5290002 Ramat Gan, Israel

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年

关键词：

Profinite groups; profinite completion; free profinite groups; SUBGROUPS;

D O I：

10.1142/S0219498825503384

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the ability of a free pro-C group of infinite rank to abstractly solve abstract embedding problems, and conclude that for some varieties C, the profinite completion of any order, of a free pro-C group of infinite rank, is a free pro-C group as well, of the corresponding rank.

引用

页数：19

共 17 条

[1] THE PROFINITE COMPLETION OF A PROFINITE PROJECTIVE GROUP
Bar-On, Tamar
[J]. GLASGOW MATHEMATICAL JOURNAL, 2022, 64 (02) : 499 - 503
[2] The weight of nonstrongly complete profinite groups
Bar-On, Tamar
[J]. JOURNAL OF GROUP THEORY, 2021, 24 (05) : 987 - 1004
[3] The tower of profinite completions
Bar-On, Tamar
[J]. JOURNAL OF GROUP THEORY, 2018, 21 (06) : 1065 - 1072
[4] DOUADY A, 1964, CR HEBD ACAD SCI, V258, P5305
[5] Fried M. D., 2006, Field arithmetic, V11
[6] NORMAL AUTOMORPHISMS OF FREE PROFINITE GROUPS
JARDEN, M
[J]. JOURNAL OF ALGEBRA, 1980, 62 (01) : 118 - 123
[7] Jarden M., 1995, Contemporary Mathematics, V186, P371
[8] Kaplansky I., 2018, INFINITE ABELIAN GRO
[9] Classifications of countably-based abelian profinite groups
Kiehlmann, Jonathan A.
[J]. JOURNAL OF GROUP THEORY, 2013, 16 (01) : 141 - 157
[10] SUBGROUPS OF FREE PROFINITE GROUPS AND LARGE SUBFIELDS OF Q
LUBOTZKY, A
VANDENDRIES, L
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1981, 39 (1-2) : 25 - 45

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