Large characteristic subgroups with restricted conjugacy classes

DOI10.1007/s00025-019-1089-5zbMath1480.20070OpenAlexW2970442123WikidataQ127312227 ScholiaQ127312227MaRDI QIDQ2275304

Francesco de Giovanni, Marco Trombetti

Publication date: 2 October 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-019-1089-5

zbMATH Keywords

characteristic subgroup\(FC\)-groupmetahamiltonian group

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Subgroup theorems; subgroup growth (20E07) FC-groups and their generalizations (20F24)

Related Items (3)

Exponent of a finite group admitting a coprime automorphism of prime order ⋮ Groups whose proper subgroups are metahamiltonian-by-finite ⋮ Large characteristic subgroups and abstract group classes

Cites Work

• Large characteristic subgroups with modular subgroup lattice
• Large characteristic subgroups in which normality is a transitive relation
• Large and symmetric: the Khukhro-Makarenko theorem on laws -- without laws.
• On the theory of groups with extremal layers
• Group rings satisfying a polynomial identity
• Groups with finite classes of conjugate subgroups
• A short proof of the Khukhro-Makarenko theorem on large characteristic subgroups with laws
• A Note on Large Characteristic Subgroups
• Bounds in groups with finite abelian coverings or with finite derived groups
• A NOTE ON NILPOTENT-BY-ERNIKOV GROUPS
• Groups with restrictions on proper uncountable subgroups
• Large characteristic subgroups satisfying multilinear commutator identities
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