Anisotropic groups of type An and the commuting graph of finite simple groups

72 citations recorded by the source corpus.

How researchers see this paper

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

The diameter of the commuting graph of a finite group with trivial centre (2013, methodology): “For the remaining groups we adapt and extend the arguments of Segev and Seitz [21] to the case where the commuting graph of G with F ∗(G) a simple group of Lie type in characteristic r is possibly disconnected.”
Certain properties of the power graph associated with a finite group (2013, unknown): “In [34] and [35], Segev and Seitz apply the commuting graph ∆(G) := C(G,G \ {1}) of G, with G a nonabelian simple group, in order to prove the Margulis-Platonov conjecture on arithmetic groups.”
Finite quotients of the multiplicative group of a finite dimensional division algebra are solvable (2002, methodology): “This conjecture was formulated in view of the results in [23], [26] and also the results with L.”
On the noncommuting graph associated with a finite group (2005, background): “Many authors have studied C(G,X) for dierent choices of G and X. In [3] and [ 4 ], Segev and Seitz apply the commuting graph ( G) := C(G,X), with G a nonabelian simple group and X = G \ {1}, in order to prove the Margulis‐Platonov conjecture on arithmetic groups.”