Anti-CC-groups and anti-PC-groups.

DOI10.1155/2007/29423zbMath1136.20031OpenAlexW1982813073MaRDI QIDQ925484

Francesco G. Russo

Publication date: 3 June 2008

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54042

zbMATH Keywords

polycyclic-by-finite groupsanti-CC-groupsanti-PC-groupsChernikov classes of conjugate subgroupsinfinitely generated subgroupsnonfinitely generated subgroupspolycyclic-by-finite classes of conjugate subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generalizations of solvable and nilpotent groups (20F19) FC-groups and their generalizations (20F24)

Cites Work

• Groups with noncyclic subgroups of finite index
• Modules over nilpotent groups of finite rank
• Properties of groups inherited by normal subgroups
• Groups with finiteness conditions and other restrictions
• Groups rich with almost-normal subgroups
• Infinite groups with normality conditions on infinite subgroups
• On groups with many almost normal subgroups
• Groups with subnormality for all subgroups that are not finitely generated
• Splitting over nilpotent and hypercentral residuals
• A dual approach to Černikov modules
• Groups With Chernikov Classes of Conjugate Subgroups
• Groups with Polycyclic-by-Finite Conjugate Classes of Subgroups
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