Another criterion for solvability of finite groups

DOI10.1016/j.jalgebra.2022.01.005zbMath1487.20008arXiv2112.04220OpenAlexW4206608873MaRDI QIDQ2075924

Patrizia Longobardi, Mercede Maj, Marcel Herzog

Publication date: 16 February 2022

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

Full work available at URL: https://arxiv.org/abs/2112.04220

zbMATH Keywords

soluble groupsaverage ordersimple groupselement orders

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (4)

On the sum of the inverses of the element orders in finite groups ⋮ Another criterion for supersolvability of finite groups ⋮ On groups with average element orders equal to the average order of the alternating group of degree \(5\) ⋮ On the average order of a finite group

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