A criterion for \(p\)-solvability of finite groups, where \(p = 7\) or 11

DOI10.22103/JMMR.2024.22002.1488MaRDI QIDQ6647922

Sara Pouyandeh

Publication date: 3 December 2024

Published in: Journal of Mahani Mathematical Research Center (Search for Journal in Brave)

zbMATH Keywords

finite group\(p\)-solvablesum of element orders

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

• Title not available (Why is that?)
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• Sums of Element Orders in Finite Groups
• An answer to a conjecture on the sum of element orders
• On two conjectures about the sum of element orders
• A criterion for p-nilpotency and p-closedness by the sum of element orders
• PROPERTIES OF FINITE GROUPS DETERMINED BY THE PRODUCT OF THEIR ELEMENT ORDERS
• A New Characterization of SimpleK₃-Groups by Their Orders and Large Degrees of Their Irreducible Characters
• A criterion for nilpotency of a finite group by the sum of element orders
• On the sum of the inverses of the element orders in finite groups

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