Finite groups with a trivial Chermak-Delgado subgroup

DOI10.1515/jgth-2017-0042zbMath1436.20029arXiv1706.01431OpenAlexW2963379005MaRDI QIDQ1748039

Ryan McCulloch

Publication date: 2 May 2018

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.01431

zbMATH Keywords

Chermak-Delgado latticetrivial Chermak-Delgado subgroup

Mathematics Subject Classification ID

Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30)

Related Items (6)

Twisted centrally large subgroups of finite groups ⋮ Groups whose Chermak–Delgado lattice is a subgroup lattice of an elementary abelian p-group ⋮ Groups whose Chermak–Delgado lattice is a subgroup lattice of an abelian group ⋮ Subnormality and the Chermak–Delgado lattice ⋮ Finite groups with a certain number of values of the Chermak–Delgado measure ⋮ On the Chermak–Delgado lattice of a finite group

Cites Work

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• Quasi-antichain Chermak-Delgado lattices of finite groups.
• Groups whose Chermak-Delgado lattice is a quasi-antichain
• 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
• A Measuring Argument for Finite Groups
• A note on the Chermak–Delgado lattice of a finite group
• Chermak–Delgado Lattice Extension Theorems
• Endliche Gruppen I

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