The Jordan-Hölder theorem and prefrattini subgroups of finite groups
The Jordan-Hölder theorem and prefrattini subgroups of finite groups
All groups considered are finite. In recent years a number of generalizations of the classic Jordan-Hölder Theorem have been obtained (see [7], Theorem A.9.13): in a finite group G a one-to-one correspondence as in the Jordan-Holder Theorem can be defined preserving not only G -isomorphic chief factors but even their …