Groups with restricted non-normal subgroups

DOI10.1007/BF01261869zbMath0474.20014MaRDI QIDQ1159278

Richard E. Phillips, Brunella Bruno

Publication date: 1981

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/183639

zbMATH Keywords

finitely generated subgroupsubgroup of finite indexlocally nilpotent subgrouptorsion-free central subgroup

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) General structure theorems for groups (20E34) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Derived series, central series, and generalizations for groups (20F14) Local properties of groups (20E25)

Related Items (17)

Groups which are isomorphic to their nonabelian subgroups ⋮ Groups with finiteness conditions on the lower central series of non-normal subgroups ⋮ Groups whose proper subgroups are metahamiltonian-by-finite ⋮ Unnamed Item ⋮ Groups with an Engel restriction on proper subgroups of infinite rank ⋮ On minimal non-\(M_rC\)-groups. ⋮ On a class of metahamiltonian groups. ⋮ Cohopfian groups and accessible group classes ⋮ Linear groups whose proper subgroups are close to being nilpotent ⋮ Generalised norms in finite soluble groups. ⋮ Groups with Supersoluble Non-normal Subgroups ⋮ Groups whose proper subgroups are linear ⋮ Groups with restricted non-permutable subgroups ⋮ GROUPS WHOSE PROPER SUBGROUPS ARE GENERALIZED FC-GROUPS ⋮ On minimal conditions related to Miller-Moreno type groups ⋮ Groups whose non-normal subgroups have a transitive normality relation ⋮ A constructive approach to accessible group classes

Cites Work

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• On certain minimal conditions for infinite groups
• A theorem on finitely generated hyperabelian groups
• Infinite nonabelian groups in which all infinite nonabelian subgroups are invariant
• The automorphism group of an extraspecial \(p\)-group
• Residual Properties of Infinite Soluble Groups
• On Periodic Generalized Nilpotent Groups
• Frattini Subgroups in Finitely Generated Linear Groups
• Endliche Gruppen I
• Abnormal Subgroups of a Class of Periodic Locally Soluble Groups

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