Characterization of finite groups by a bijection with a divisible property on the element orders

DOI10.1080/00927872.2016.1236932zbMath1370.20023OpenAlexW2536322379MaRDI QIDQ4978398

Mohsen Amiri, Seyyed Majid Jafarian Amiri

Publication date: 10 August 2017

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

Full work available at URL: https://doi.org/10.1080/00927872.2016.1236932

zbMATH Keywords

bijectionquaternion groupfinite grouporder element

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) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15)

Related Items (1)

On a bijection between a finite group and cyclic group

Uses Software

• GAP
• MathOverflow

Cites Work

• Groups of prime power order. Vol. 1.
• A conjecture of Frobenius and the simple groups of Lie type. IV
• Unsolved Problems in Group Theory. The Kourovka Notebook

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