Infinite groups with short balanced chains of subgroups.

DOI10.1016/J.JALGEBRA.2007.12.027zbMath1151.20022OpenAlexW2031631882MaRDI QIDQ933380

Leonid A. Kurdachenko, Alessio Russo, Igor Ya. Subbotin, Giovanni Vincenzi

Publication date: 21 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.12.027

zbMATH Keywords

soluble groupspronormal subgroupstransitive normalitynormal closuresabnormal subgroupsbalanced chains

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (1)

The influence of arrangement of subgroups on the group structure

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Groups in which all subgroups are pronormal.
• Finite soluble groups
• Groups with alternatively normal subgroups
• Subgroup lattices of groups
• Groups with only normal and abnormal subgroups
• Abnormal depth and hypereccentric length in finite soluble groups
• Nilpotent self-normalizing subgroups of soluble groups
• Radical groups
• Finite Groups with Pro-Normal Subgroups
• On the System Normalizers of a Soluble Group
• Groups with finite periodic part

This page was built for publication: Infinite groups with short balanced chains of subgroups.