Finite groups with Hall {pi}-subgroups
New classes of finite groups with Hall {pi}-subgroups that have the Sylow properties are constructed and studied. The classes of groups C{sub {pi}} and D{sub {pi}} introduced by P. Hall are substantially extended. Necessary and sufficient conditions are established under which a finite group has Hall {pi}-subgroups. D-Theorems generalizing D-theorems of P. Hall, Wielandt, Baer, and Hartley are obtained. Bibliography: 30 titles.
97 MATHEMATICS AND COMPUTING↗