On the supersolvability of a finite group by the sum of subgroup orders

DOI10.1142/S0219498822502322OpenAlexW3194116372MaRDI QIDQ5046094

Marius Tărnăuceanu

Publication date: 27 October 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.07029

zbMATH Keywords

supersolvable groupssubgroup 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 (2)

On the sum of non-cyclic subgroups order in a finite group ⋮ A new criterion for solvability of a finite group by the sum of orders of non-normal subgroups

Cites Work

• Unnamed Item
• On the number of conjugate classes of maximal subgroups of finite groups
• Finite groups with a cyclic maximal subgroup
• Two new criteria for solvability of finite groups
• A criterion for solvability of a finite group by the sum of element orders
• Subgroup lattices of groups
• Finite groups determined by an inequality of the orders of their subgroups.
• Finite groups determined by an inequality of the orders of their subgroups II
• On the solvability of a finite group by the sum of subgroup orders
• On a criterion for solvability of a finite group

This page was built for publication: On the supersolvability of a finite group by the sum of subgroup orders