On some groups with only two types of subgroups

DOI10.1142/S1793557114500570zbMath1316.20029MaRDI QIDQ5178359

T. I. Velichko, Leonid A. Kurdachenko, Igor Ya. Subbotin

Publication date: 16 March 2015

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

normal subgroupssubgroups of finite indexlocally soluble groupsalmost normal subgroupsabnormal subgroupscontranormal subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) General structure theorems for groups (20E34) Generalizations of solvable and nilpotent groups (20F19) Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items

Unnamed Item, On certain groups with \(G\)-contrainvariant subspaces

Cites Work

• Unnamed Item
• Groups whose all subgroups are ascendant or self-normalizing.
• A note on subnormal and abnormal chains
• Groups with all subgroups either subnormal or self-normalizing.
• Groups with only normal and abnormal subgroups
• Nilpotent self-normalizing subgroups of soluble groups
• Groups with finite classes of conjugate subgroups