Free profinite products of prosoluble groups

被引：1
|
作者：
Ersoy, Kivanc [1 ,2 ]
Herfort, Wolfgang [3 ]
机构：
[1] Mimar Sinan Fine Arts Univ, Dept Math, Istanbul, Turkey
[2] Free Univ Berlin, Dept Math & Comp Sci, Berlin, Germany
[3] Univ Technol Vienna, Vienna, Austria
来源：
JOURNAL OF ALGEBRA | 2019年 / 529卷
关键词：
Free profinite products modulo their F-residuals; PROSOLVABLE SUBGROUPS;
D O I：
10.1016/j.jalgebra.2019.02.042
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let G := Pi(i is an element of I) G(i) be the restricted free profinite product of prosoluble groups G(i). We contribute to the description of prosoluble subgroups of such G. In particular, the question of existence of a prosoluble retract for the projection onto the maximal prosoluble factor group is discussed. (C) 2019 Elsevier Inc. All rights reserved.
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页码：54 / 64
页数：11
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