The Divisibility Graph of finite groups of Lie type
Copyright policy )The Divisibility Graph of finite groups of Lie type
The Divisibility Graph of a finite group $G$ has vertex set the set of conjugacy class lengths of non-central elements in $G$ and two vertices are connected by an edge if one divides the other. We determine the connected components of the Divisibility Graph of the finite groups of Lie type in odd characteristic.
- RWTH Aachen University Germany
- Yazd University Iran (Islamic Republic of)
20G40 (Primary), 05C25 (Secondary), Linear algebraic groups over finite fields, FOS: Mathematics, Simple groups: alternating groups and groups of Lie type, Group Theory (math.GR), Mathematics - Group Theory, Arithmetic and combinatorial problems involving abstract finite groups, Graphs and abstract algebra (groups, rings, fields, etc.)
20G40 (Primary), 05C25 (Secondary), Linear algebraic groups over finite fields, FOS: Mathematics, Simple groups: alternating groups and groups of Lie type, Group Theory (math.GR), Mathematics - Group Theory, Arithmetic and combinatorial problems involving abstract finite groups, Graphs and abstract algebra (groups, rings, fields, etc.)
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