Lewis, M. (2008) An Overview of Graphs Associated with Character Degrees and Conjugacy Class Sizes in Finite Groups. Rocky Mountain Journal of Mathematics, 38, 175-211.
https://doi.org/10.1216/RMJ-2008-38-1-175

has been cited by the following article:

• TITLE: Group-Theoretic Remarks on Goldbach’s Conjecture

  AUTHORS: Liguo He, Gang Zhu

  KEYWORDS: Alternating Group, Element Order Prime Graph, Goldbach’s Conjecture, Centralizer

  JOURNAL NAME: Advances in Pure Mathematics, Vol.12 No.11, November 9, 2022

  ABSTRACT: The famous strongly binary Goldbach’s conjecture asserts that every even number 2n ≥ 8 can always be expressible as a sum of two distinct odd prime numbers. We use a new approach to dealing with this conjecture. Specifically, we apply the element order prime graphs of alternating groups of degrees 2n and 2n −1 to characterize this conjecture, and present its six group-theoretic versions; and further prove that this conjecture is true for p +1 and p −1 whenever p ≥ 11 is a prime number.