Finite Groups Determined by an Inequality of the Orders of Their Normal Subgroups

DOI10.2478/V10157-011-0022-3zbMath1240.20035arXiv1805.11691OpenAlexW2004405246MaRDI QIDQ2893639

Marius Tărnăuceanu

Publication date: 21 June 2012

Published in: Annals of the Alexandru Ioan Cuza University - Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.11691

zbMATH Keywords

finite groupsperfect numberssubgroup latticesnumbers of subgroupslattices of normal subgroupsdeficient numbers

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Combinatorial inequalities (05A20) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (4)

AN EXPLICIT FORMULA FOR THE NUMBER OF DISTINCT FUZZY SUBGROUPS OF THE CARTESIAN PRODUCT OF THE DIHEDRAL GROUP OF ORDER 2n WITH A CYCLIC GROUP OF ORDER 2 ⋮ A note on Friendly and Solitary Groups ⋮ Revisiting the Leinster groups. ⋮ Unnamed Item

Cites Work

• Unnamed Item
• A new method of proving some classical theorems of Abelian groups.
• Subgroup lattices of groups
• Finite groups determined by an inequality of the orders of their subgroups.
• Gruppen, in denen das Normalteilersein transitiv ist.
• Metacyclic groups

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