Groups whose same-order types are arithmetic progressions

DOI10.2989/16073606.2021.1942288OpenAlexW3185050578MaRDI QIDQ5039411

Mihai-Silviu Lazorec, Marius Tărnăuceanu

Publication date: 12 October 2022

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.10653

zbMATH Keywords

arithmetic progressiongroup element orderssame-order type of a group

Mathematics Subject Classification ID

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

Uses Software

• GAP

Cites Work

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• A characterization of \(A_{5}\) by its same-order type
• Applications of a graph related to conjugacy classes in finite groups
• Groups of prime power order. Vol. 1.
• A new characterization of \(A_5\).
• Finite groups whose element orders are consecutive integers
• Conjugacy class sizes in arithmetic progression
• On Groups with Given Same-Order Types
• Counting Group Elements of Order p Modulo p 2
• Finite groups with a prescribed number of cyclic subgroups

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