The divisibility graph of finite groups of Lie type

DOI10.1016/j.jpaa.2016.12.033zbMath1397.20033arXiv1612.04410OpenAlexW2571334826WikidataQ115345416 ScholiaQ115345416MaRDI QIDQ2627976

Mohammad A. Iranmanesh, Alice C. Niemeyer, Adeleh Abdolghafourian

Publication date: 9 June 2017

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.04410

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (1)

The divisibility graph for F-groups

Uses Software

• GAP

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the divisibility graph for finite sets of positive integers
• Bipartite divisor graphs for integer subsets
• On groups of even order
• The centralizers of semisimple elements of the Chevalley groups \(E_ 7\) and \(E_ 8\)
• An overview of graphs associated with character degrees and conjugacy class sizes in finite groups.
• On bipartite divisor graphs for group conjugacy class sizes.
• Prime graph components of finite groups
• A proof of Szep's conjecture on nonsimplicity of certain finite groups
• The conjugate classes of Chevalley groups of type \((G_2)\)
• Arithmetical conditions on the length of the conjugacy classes of a finite group
• Prime graph components of finite almost simple groups
• The diameter of the commuting graph of a finite group with trivial centre.
• THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY
• On the Number ofp-Regular Elements in Finite Simple Groups
• PRIME GRAPH COMPONENTS OF FINITE SIMPLE GROUPS
• ON THE COMMUTING GRAPH ASSOCIATED WITH THE SYMMETRIC AND ALTERNATING GROUPS
• On conjugacy of unipotent elements in finite groups of Lie type
• Character Table and Blocks of Finite Simple Triality Groups 3 D 4 (q)
• Centralizers of Semisimple Elements in the Finite Classical Groups
• On a Graph Related to Conjugacy Classes of Groups
• The semisimple conjugacy classes of finite groups of lie type E₆and E₇
• The semisimple conjugacy classes and the generic class number of the finite simple groups of lie type E₈
• A generating function approach to the enumeration of matrices in classical groups over finite fields
• Divisibility Graph for Symmetric and Alternating Groups
• The Character Tables for SL(3, q), SU(3, q²), PSL(3, q), PSU(3, q²)

This page was built for publication: The divisibility graph of finite groups of Lie type