Remarks on profinite groups having few open subgroups

被引:2
|
作者
Segal, Dan [1 ]
机构
[1] Univ Oxford, All Souls Coll, Oxford OX1 4AL, England
基金
美国国家科学基金会; 欧盟地平线“2020”;
关键词
Profinite groups; strong completeness; FINITE INDEX;
D O I
10.4171/JCA/2-1-4
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We explore the relations between various conditions of "smallness" on profinite groups.
引用
收藏
页码:87 / 101
页数:15
相关论文
共 50 条
  • [1] ON THE FREE PROFINITE PRODUCTS OF PROFINITE GROUPS WITH COMMUTING SUBGROUPS
    Mantika, Gilbert
    Tieudjo, Daniel
    INTERNATIONAL JOURNAL OF GROUP THEORY, 2016, 5 (02) : 25 - 40
  • [2] Commutators and pronilpotent subgroups in profinite groups
    Detomi, Eloisa
    Morigi, Marta
    Shumyatsky, Pavel
    MONATSHEFTE FUR MATHEMATIK, 2014, 175 (01): : 117 - 125
  • [3] On verbal subgroups in finite and profinite groups
    Acciarri, Cristina
    Shumyatsky, Pavel
    ALGEBRA & DISCRETE MATHEMATICS, 2012, 14 (01): : 1 - 13
  • [4] On boundedly generated subgroups of profinite groups
    Covato, Elisa
    JOURNAL OF ALGEBRA, 2014, 406 : 20 - 45
  • [5] Commutators and pronilpotent subgroups in profinite groups
    Eloisa Detomi
    Marta Morigi
    Pavel Shumyatsky
    Monatshefte für Mathematik, 2014, 175 : 117 - 125
  • [6] Profinite groups with abelian Sylow subgroups
    Lopes, Lucas C.
    Shumyatsky, Pavel
    Zalesskii, Pavel A.
    COMMUNICATIONS IN ALGEBRA, 2024, 52 (01) : 224 - 232
  • [7] WORDS AND PRONILPOTENT SUBGROUPS IN PROFINITE GROUPS
    Khukhro, E. I.
    Shumyatsky, P.
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2014, 97 (03) : 343 - 364
  • [8] Commutators and commutator subgroups in profinite groups
    Acciarri, Cristina
    Shumyatsky, Pavel
    JOURNAL OF ALGEBRA, 2017, 473 : 166 - 182
  • [9] Maximal subgroups and strong completeness of profinite groups
    Wilson, John S.
    ARCHIV DER MATHEMATIK, 2015, 105 (05) : 401 - 404
  • [10] On finiteness of some verbal subgroups in profinite groups
    Azevedo, Joao
    Shumyatsky, Pavel
    JOURNAL OF ALGEBRA, 2021, 574 : 573 - 583