Perfect numbers and finite groups.

DOI10.4171/RSMUP/129-2zbMath1280.20026OpenAlexW2051494021WikidataQ56850999 ScholiaQ56850999MaRDI QIDQ361731

Attila Maróti, Tom De Medts

Publication date: 19 August 2013

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rsmup/129-2

zbMATH Keywords

finite groupsperfect numbersnumbers of subgroupsLeinster groupsorders of normal subgroups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (4)

A note on Friendly and Solitary Groups ⋮ Revisiting the Leinster groups. ⋮ On a divisibility property involving the sum of element orders ⋮ On a group-theoretical generalization of the Gauss formula

Uses Software

• SageMath
• MathOverflow

Cites Work

• Unnamed Item
• Finite groups determined by an inequality of the orders of their subgroups.
• Codensity and the ultrafilter monad

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