Abnormal subgroups and Carter subgroups in some classes of infinite groups.

DOI10.1016/J.JALGEBRA.2005.09.027zbMath1105.20024OpenAlexW2154433390MaRDI QIDQ2491813

Alessio Russo, Giovanni Vincenzi, Leonid A. Kurdachenko

Publication date: 29 May 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.09.027

zbMATH Keywords

Carter subgroupslocally nilpotent groupsminimal conditiongeneralized soluble groupsabnormal subgroupsperiodic nilpotent-by-hypercentral groups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) FC-groups and their generalizations (20F24)

Cites Work

• New characterizations of locally nilpotent \(\overline{IH}\)-groups
• Finite soluble groups
• Nilpotent self-normalizing subgroups of soluble groups
• ON SOME CRITERIA OF NILPOTENCY
• Groups without proper abnormal subgroups
• Abnormal Subgroups of a Class of Periodic Locally Soluble Groups
• On the System Normalizers of a Soluble Group
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