Prosoluble subgroups of free profinite products

被引:0
作者
Zalesskii, Pavel [1 ]
机构
[1] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil
关键词
PROSOLVABLE SUBGROUPS;
D O I
10.1017/fms.2024.92
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We describe finitely generated and second countable prosoluble subgroups of free profinite products. We also give a description of relatively projective prosoluble groups.
引用
收藏
页数:15
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共 16 条
  • [1] Burns R. G., 1971, J. Aust. Math. Soc, V358364
  • [2] Free profinite products of prosoluble groups
    Ersoy, Kivanc
    Herfort, Wolfgang
    [J]. JOURNAL OF ALGEBRA, 2019, 529 : 54 - 64
  • [3] Frobenius subgroups of free profinite products
    Guralnick, Robert M.
    Haran, Dan
    [J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2011, 43 : 467 - 477
  • [4] HARAN D, 1987, P LOND MATH SOC, V55, P266
  • [5] Haran D., 2021, Springer Monographs in Mathematics
  • [6] Relatively projective pro-p groups
    Haran, Dan
    Zalesskii, Pavel A.
    [J]. ISRAEL JOURNAL OF MATHEMATICS, 2023, 257 (02) : 313 - 352
  • [7] Herfort W., 1990, Proc. Amer. Math. Soc, V108
  • [8] PROSOLVABLE SUBGROUPS OF FREE-PRODUCTS OF PROFINITE GROUPS
    JARDEN, M
    [J]. COMMUNICATIONS IN ALGEBRA, 1994, 22 (04) : 1467 - 1494
  • [9] Jarden M., 1996, Handbook of Algebra, V1
  • [10] Relatively projective groups as absolute Galois groups
    Koenigsmann, J
    [J]. ISRAEL JOURNAL OF MATHEMATICS, 2002, 127 (1) : 93 - 129