A new characterization for some linear groups.

DOI10.1007/s00605-009-0168-1zbMath1216.20022OpenAlexW2003493066MaRDI QIDQ538393

Zeinab Akhlaghi, Behrooz Khosravi, Maryam Khatami

Publication date: 25 May 2011

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-009-0168-1

zbMATH Keywords

linear groupssets of element orderscharacterizable groupssets of numbers of elements of equal ordersThompson problem

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06)

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Uses Software

• GAP

Cites Work

• On the prime graph of \(\text{PSL}(2,p)\) where \(p>3\) is a prime number.
• A new characterization of \(A_5\).
• Characterization of simple \(K_4\)-groups.
• On finite simple groups of order divisible by three primes only
• n-RECOGNITION BY PRIME GRAPH OF THE SIMPLE GROUP PSL(2,q)
• The characterization of \(\text{PSL}(2,q)\) by its element orders
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