Abstract:
In the paper we work to complete the classification of Carter subgroups in finite almost simple groups. In particular, it is proved that Carter subgroups of every finite almost simple group are conjugate. Based on our previous results, together with those obtained by F. Dalla Volta, A. Lucchini, and M. C. Tamburini, as a consequence we derive that Carter subgroups of every finite group are conjugate.
Keywords:
finite almost simple group, Carter subgroup.
Citation:
E. P. Vdovin, “Carter subgroups of finite almost simple groups”, Algebra Logika, 46:2 (2007), 157–216; Algebra and Logic, 46:2 (2007), 90–119