On groups with many almost normal subgroups

DOI10.1007/BF01759348zbMath0853.20024OpenAlexW2063554915MaRDI QIDQ1913368

Francesco de Giovanni, Leonid A. Kurdachenko, Silvana Franciosi

Publication date: 8 July 1996

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01759348

zbMATH Keywords

almost normal subgroupsfinitely many conjugatescentre-by-finite groups\(S_ 1\)-groupsgroups satisfying the maximal conditionmaximal normal periodic subgroupnon-finitely generated subgroupssoluble anti-FC-groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Chains and lattices of subgroups, subnormal subgroups (20E15) FC-groups and their generalizations (20F24)

Related Items

Groups with all subgroups either modular or soluble of finite rank, The metanorm and its influence on the group structure, Unnamed Item, On generalized hypercenters in artinian modules, Anti-CC-groups and anti-PC-groups., Groups whose factor group modulo the upper hypercenter is of finite 0-rank, Groups with Finitely Many Normalizers of Non-polycyclic Subgroups, On some ranks of infinite groups., Groups with Polycyclic-by-Finite Conjugate Classes of Subgroups, On Groups with Finite Abelian Section Rank Factorized by Mutually Permutable Subgroups, Groups Whose Proper Subgroups of Infinite Rank Have Polycyclic Conjugacy Classes, Groups all proper quotient groups of which have Chernikov conjugacy classes

Cites Work

• Groups with finite conjugacy classes of subnormal subgroups
• Groups with a complete system of almost-normal subgroups
• Groups with noncyclic subgroups of finite index
• Modules over nilpotent groups of finite rank
• Groups with a nilpotent-by-finite triple factorization
• Groups with an FC-nilpotent triple factorization
• Groups rich with almost-normal subgroups
• Groups with a maximality condition for some non-normal subgroups
• Groups with subnormality for all subgroups that are not finitely generated
• Investigation of groups with given properties of the subgroups
• On the minimality property for locally finite groups
• Groups with finite classes of conjugate subgroups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item