On the prime divisors of element orders

DOI10.1002/mana.202000249zbMath1530.20067OpenAlexW3200853702MaRDI QIDQ6073367

Hung Ngoc Nguyen, Yong Yang

Publication date: 17 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.202000249

zbMATH Keywords

finite groupsprime divisorssolvable groupssimple groupselement orders

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) General structure theorems for groups (20E34) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (3)

Solvable conjugacy class graph of groups ⋮ Results related to Huppert's $\rho$-$\sigma$ conjecture ⋮ New bounds for numbers of primes in element orders of finite groups

Cites Work

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• Generic Sylow theorems for the reductive groups over finite fields
• Character theory of finite groups
• Solvable groups with at most four prime divisors in the element orders
• A linear bound for \(\rho(n)\)
• Finite Groups in Which Every Element Has Prime Power Order
• Finite Groups with Nilpotent Centralizers
• Low-Dimensional Complex Characters of the Symplectic and Orthogonal Groups
• Arithmetical Conditions on Element Orders and Group Structure
• Prime divisors of irreducible character degrees and of conjugacy class sizes in finite groups
• On the number of different prime divisors of element orders

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