The main supergraph of finite groups

MaRDI QIDQ2169889

Alireza Khalili Asboei, Seyed Sadegh Salehi Amiri

Publication date: 30 August 2022

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://nyjm.albany.edu/j/2022/28-43.html

zbMATH Keywords

non-solvablemain supergraphsame order type groupsThompson's problem

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Uses Software

• GAP

Cites Work

• Automorphism groups of supergraphs of the power graph of a finite group
• \(r\)-recognizability of \(B_n(q)\) and \(C_n(q)\) where \(n=2^m\geqslant 4\).
• Characterization of \(^3D_4(q)\)
• Characterizability of the group \(^2D_p(3)\) by its order components, where \(p\geq 5\) is a prime number not of the form \(2^m+1\).
• A characterization of the group \(^2D_n(2)\), where \(n=2m+1\geq 5\).
• A new characterization of \(\text{PSL}_2(q)\)
• A new characterization of Suzuki-Ree group
• A characterization of \(\text{PSL}(3,q)\) where \(q\) is an odd prime power
• Some alternating and symmetric groups and related graphs
• On Thompson's conjecture
• A characterization of \(\text{PSL}(3,q)\) for \(q=2^m\)
• A characterization of \(\text{PSU}_3(q)\) for \(q>5\)
• On semi-rational finite simple groups
• Characterizability of \(\text{PSU}(p+1,q)\) by its order component(s).
• \(^2D_n(3)\) (\(9\leq n=2^m+1\) not a prime) can be characterized by its order components.
• A NEW CHARACTERIZATION OF ALMOST SPORADIC GROUPS
• A Characterization of PSU₁₁(q)
• CHARACTERIZATION OF THE GROUPS D_p+1(2) AND D_p+1(3) USING ORDER COMPONENTS
• Recognizability of finite groups by Suzuki group
• 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: The main supergraph of finite groups