Inequalities detecting structural properties of a finite group
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Publication:2976184
DOI10.1080/00927872.2016.1172621zbMath1388.20039arXiv1503.00355OpenAlexW106978030MaRDI QIDQ2976184
Massimiliano Patassini, Martino Garonzi
Publication date: 28 April 2017
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.00355
Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Combinatorial inequalities (05A20) Finite nilpotent groups, (p)-groups (20D15)
Related Items (13)
On the sum of the inverses of the element orders in finite groups ⋮ New criteria for solvability, nilpotency and other properties of finite groups in terms of the order elements or subgroups ⋮ The characterization of some cyclic groups by the product of element orders ⋮ On groups with average element orders equal to the average order of the alternating group of degree \(5\) ⋮ Upper bounds for the product of element orders of finite groups ⋮ A new criterion for solvability of a finite group by the sum of orders of non-normal subgroups ⋮ An exact upper bound for sums of element orders in non-cyclic finite groups ⋮ Unnamed Item ⋮ PROPERTIES OF FINITE GROUPS DETERMINED BY THE PRODUCT OF THEIR ELEMENT ORDERS ⋮ On the number of cyclic subgroups of a finite group ⋮ Recognition by the product element orders ⋮ Another criterion for solvability of finite groups ⋮ On a criterion for solvability of a finite group
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