Two classes of finite groups whose Chermak-Delgado lattice is a chain of length zero

DOI10.1080/00927872.2017.1404090zbMath1429.20011arXiv1801.06738OpenAlexW2775526768MaRDI QIDQ4576680

Ryan McCulloch, Marius Tărnăuceanu

Publication date: 10 July 2018

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

Full work available at URL: https://arxiv.org/abs/1801.06738

zbMATH Keywords

dihedral groupFrobenius groupChermak-Delgado measuresubgroup latticeChermak-Delgado latticeChermak-Delgado subgroupZM-group

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Products of subgroups of abstract finite groups (20D40)

Related Items (7)

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 ⋮ FINITE GROUPS WITH LARGE CHERMAK–DELGADO LATTICES ⋮ On the Chermak-Delgado measure of a finite group ⋮ Finite groups with a certain number of values of the Chermak–Delgado measure ⋮ On the Chermak–Delgado lattice of a finite group

Cites Work

• Unnamed Item
• The Chermak-Delgado lattice of ZM-groups
• Subgroup lattices of groups
• 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 FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER
• A Measuring Argument for Finite Groups
• Large orbits in actions of nilpotent groups
• Exploring the Chermak-Delgado Lattice
• Chermak–Delgado Lattice Extension Theorems
• Endliche Gruppen I
• A Note on Finite Groups with an Abelian Sylow Group

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