• Title of article

    The diameter of the non-nilpotent graph of a finite group

  • Author/Authors

    Lucchini, Andrea Dipartimento di Matematica “Tullio Levi-Civita” - Università degli Studi di Padova, Italy , Nemmi, Daniele Dipartimento di Matematica “Tullio Levi-Civita” - Università degli Studi di Padova, Italy

  • Pages
    4
  • From page
    111
  • To page
    114
  • Abstract
    We prove that the graph obtained from the non-nilpotent graph of a finite group by deleting the isolated vertices is connected with diameter at most 3. This bound is the best possible.
  • Keywords
    Distance , nilpotency , hypercenter
  • Journal title
    Transactions on Combinatorics
  • Serial Year
    2020
  • Record number

    2605261