Published online by Cambridge University Press: 09 April 2009
The Fitting class of finite soluble π-groups, where π is an arbitrary set of primes, has the property that each complement of an
-avoided, complemented chief factor of any finite soluble group G contains an
-injector of G. In other words, each
-avoided, complemented chief factor of G is
-complemented in the sense of Hartley (see [2]).