Abstract:
In terms of normal series of a finite group, the existence criterion of a Carter subgroup is obtained. An example showing that the criterion cannot be reformulated in terms of composition factors is given. In conclusion, Carter subgroups in almost simple groups are classified.
Citation:
E. P. Vdovin, “On the existence of Carter subgroups”, Группы и графы, Trudy Inst. Mat. i Mekh. UrO RAN, 13, no. 1, 2007, 79–88; Proc. Steklov Inst. Math. (Suppl.), 257, suppl. 1 (2007), S195–S203