Characterization of $p$-groups by sum of the element orders

DOI10.5486/PMD.2015.5961zbMath1341.20015arXiv1903.06090OpenAlexW2329436721MaRDI QIDQ5248364

Mohsen Amiri, Seyyed Majid Jafarian Amiri

Publication date: 7 May 2015

Published in: Publicationes Mathematicae Debrecen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.06090

zbMATH Keywords

finite \(p\)-groupsorders of groupssets of element ordersregular \(p\)-groupssums of element orders

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15)

Related Items (8)

The minimum sum of element orders of finite groups ⋮ On groups with average element orders equal to the average order of the alternating group of degree \(5\) ⋮ On the sum of orders of elements in finite groups ⋮ The second maximal groups with respect to the sum of element orders ⋮ Sums of element orders in groups of odd order ⋮ Sums of element orders in groups of order 2m with m odd ⋮ Another criterion for solvability of finite groups ⋮ On a criterion for solvability of a finite group

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