On groups with countably many maximal subgroups


ARIKAN A. , Cutolo G., Robinson D. J. S.

JOURNAL OF GROUP THEORY, cilt.21, sa.2, ss.253-271, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Konu: 2
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1515/jgth-2017-0035
  • Dergi Adı: JOURNAL OF GROUP THEORY
  • Sayfa Sayıları: ss.253-271

Özet

The object of this work is to find classes of groups which possess only countably many maximal subgroups. Modules with countably many maximal submodules and group rings having countably many maximal right ideals are also investigated. Examples of soluble groups with uncountably many maximal subgroups are described.