A variation of Thompson's conjecture for the symmetric groups

DOI10.21136/CMJ.2020.0501-18OpenAlexW3003462186WikidataQ123298814 ScholiaQ123298814MaRDI QIDQ5122219

Mahdi Abedei, Farrokh Shirjian, Ali Iranmanesh

Publication date: 22 September 2020

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/cmj.2020.0501-18

zbMATH Keywords

symmetric groupsprime graphconjugacy class sizeThompson's conjecture

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Cites Work

• Unnamed Item
• On Thompson's conjecture for some finite simple groups.
• Prime graph components of finite groups
• A new characterization of the alternating groups
• Further reflections on Thompson's conjecture
• Recognition of alternating groups of prime degree from their element orders
• A characterization of \(\text{PSL}(3,q)\) where \(q\) is an odd prime power
• The influence of order and conjugacy class length on the structure of finite groups
• On Thompson's conjecture
• Recognizing simple \(K_4\)-groups by few special conjugacy class sizes
• New characterization of symmetric groups of prime degree
• On Thompson's conjecture.
• Unsolved Problems in Group Theory. The Kourovka Notebook
• Recognizing alternating groups by their order and one conjugacy class length
• Characterization of the alternating groups by their order and one conjugacy class length

This page was built for publication: A variation of Thompson's conjecture for the symmetric groups