Groups with many normal-by-finite subgroups

DOI10.1090/S0002-9939-97-03539-9zbMath0864.20021OpenAlexW1895166675MaRDI QIDQ4332953

Francesco de Giovanni, Silvana Franciosi

Publication date: 19 February 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03539-9

zbMATH Keywords

subgroups of finite indexlocally finite groupsminimal condition on subgroupsfinitely many conjugacy classes of subgroupsnormal-by-finite groupsperiodic epimorphic images

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) General structure theorems for groups (20E34) Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15) Extensions, wreath products, and other compositions of groups (20E22) FC-groups and their generalizations (20F24)

Related Items (2)

The weak minimal condition on subgroups which fail to be close to normal subgroups ⋮ Almost Hamiltonian groups.

Cites Work

• On certain minimal conditions for infinite groups
• Groups with finitely many conjugacy classes of subgroups with large subnormal defect
• Groups whose subnormal subgroups are normal by-finite
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