The Structure of Groups Possessing Carter Subgroups of Odd Order

摘要

Let a group G contain a Carter subgroup of odd order. It is shown that every composition factor of G either is Abelian or is isomorphic to L (2)(3(2n + 1)), n a parts per thousand yenaEuro parts per thousand 1. Moreover, if 3 does not divide the order of a Carter subgroup, then G solvable.