Simple groups are characterized by their non-commuting graphs

By R. Solomon, A. Woldar. 2013

47 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/b43d328f7c95284dd979c73337972bfed978c4e1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Chris Parker
2. Peter J. Cameron
3. Leandro Vendramin

In Discrete Mathematics and Combinatorics

1. Peter J. Cameron
2. G. L. Morgan
3. Chris Parker
4. Leandro Vendramin

In Geometry and Topology

1. Chris Parker
2. Peter J. Cameron
3. Leandro Vendramin

Citations in the corpus

• The diameter of the commuting graph of a finite group with trivial centre (2013, background): “In a different direction, Solomon and Woldar [22] have recently proved that if S is a finite simple group and G is an arbitrary group with Γ(S) ∼= Γ(G), then S ∼= G.”
• Graphs defined on groups (2021, background): “It was conjectured in [4] and proved in [7, 60, 98] that any non-abelian finite simple group is characterised by its commuting graph.”