Twisted centrally large subgroups of finite groups

DOI10.1016/j.jalgebra.2022.03.034OpenAlexW4224272767MaRDI QIDQ2136900

Lijian An

Publication date: 16 May 2022

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2022.03.034

zbMATH Keywords

centrally large subgroupchermak-delgado latticegeneralized extremal CL-subgroupsisoclinictwisted CL-pairs

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15)

Related Items (1)

Groups whose Chermak–Delgado lattice is a subgroup lattice of an abelian group

Cites Work

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• On the Chermak-Delgado lattices of split metacyclic \(p\)-groups.
• Quasi-antichain Chermak-Delgado lattices of finite groups.
• The Chermak-Delgado lattice of ZM-groups
• The Chermak-Delgado measure in finite \(p\)-groups
• Finite groups with a trivial Chermak-Delgado subgroup
• Groups whose Chermak-Delgado lattice is a quasi-antichain
• Finite \(p\)-groups with few minimal nonabelian subgroups.
• Centrally large subgroups of finite \(p\)-groups.
• SOME GROUPS WITH COMPUTABLE CHERMAK–DELGADO LATTICES
• Chermak–Delgado simple groups
• Groups whose Chermak–Delgado lattice is a chain
• Finite groups with a certain number of values of the Chermak–Delgado measure
• A Measuring Argument for Finite Groups
• Two classes of finite groups whose Chermak-Delgado lattice is a chain of length zero
• A note on the Chermak–Delgado lattice of a finite group
• Subnormality and the Chermak–Delgado lattice
• Chermak–Delgado Lattice Extension Theorems
• Endliche Gruppen I
• The classification of prime-power groups.

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