We find finite almost simple groups with prime graphs all of whose connected components are cliques, i.e., complete graphs. The proof is based on the following fact, which was obtained by the authors and is of independent interest: the prime graph of a finite simple nonabelian group contains two nonadjacent odd vertices that do not divide the order of the outer automorphism group of this group.
Translated title of the contributionFinite almost simple groups with prime graphs all of whose connected components are cliques
Original languageRussian
Pages (from-to)132-141
Number of pages10
JournalТруды института математики и механики УрО РАН
Volume21
Issue number3
Publication statusPublished - 2015

    Level of Research Output

  • VAK List

    GRNTI

  • 27.17.00

ID: 1787029