Minimal non-abelian groups with an average condition on subgroups

DOI10.22103/jmmr.2024.23697.1677MaRDI QIDQ6669558

Ziba Tooshmalani, Bijan Taeri

Publication date: 22 January 2025

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

zbMATH Keywords

average conditiongroup element orderssum of element ordersminimal non-abelian groups

Mathematics Subject Classification ID

Finite nilpotent groups, (p)-groups (20D15)

Cites Work

• Unnamed Item
• Characterizing finite groups using the sum of the orders of the elements.
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• Sum of Element Orders of Maximal Subgroups of the Symmetric Group
• SUM OF ELEMENT ORDERS ON FINITE GROUPS OF THE SAME ORDER
• On groups with average element orders equal to the average order of the alternating group of degree \(5\)
• On a question of Jaikin-Zapirain about the average order elements of finite groups

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