On recognizability of \(\mathrm{PSU}_3(q)\) by the orders of maximal abelian subgroups

DOI10.1134/S0037446619010142zbMath1475.20027WikidataQ128059784 ScholiaQ128059784MaRDI QIDQ2002489

Behrooz Khosravi, Zahra Momen

Publication date: 12 July 2019

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

zbMATH Keywords

characterizationsimple groupprime graphprojective special unitary groupmaximal abelian subgroup

Mathematics Subject Classification ID

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

Cites Work

• Recognizability of groups \(G_2(q)\) by spectrum.
• Cocliques of maximal size in the prime graph of a finite simple group
• Prime graph components of finite groups
• A Diophantine equation which arises in the theory of finite groups
• Certain embeddings among finite groups of Lie type
• Further reflections on Thompson's conjecture
• Recognition of alternating groups of prime degree from their element orders
• A new characterization of the simple group \(A_1(p^n)\).
• A characterization of \(\text{PSU}_3(q)\) for \(q>5\)
• Prime graph components of finite almost simple groups
• Groups with the same orders of maximal abelian subgroups as \(A_2(q)\).
• Spectra of finite symplectic and orthogonal groups
• CHARACTERIZATION BY PRIME GRAPH OF PGL(2, p^k) WHERE p AND k > 1 ARE ODD
• An Adjacency Criterion for the Prime Graph of a Finite Simple Group
• Spectra of finite linear and unitary groups
• Quasirecognition of E6(q) by the orders of maximal abelian subgroups
• On simple \(K_4\)-groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On recognizability of \(\mathrm{PSU}_3(q)\) by the orders of maximal abelian subgroups