These objects have a  Fitting  type generated by others of these objects which ful ll certain conditions.
Frattini names one of these represented by phi which is the intersection of all of the maximal ones of these. These objects have a  Fitting  type generated by others of these objects which ful ll certain conditions. The Jordan-Hölder theo- rem guarantees pairwise isomorphism between sequences of these objects called composition series. The socle is one of these objects, and one of these objects is said to be   normal if it is invariant under the similarity transformation for all x. The local type of these objects acts as a normalizer for nontrivial Sylow p-these. For ten points, identify these entities in abstract algebra consisting of some of the elements of a group but still ful lling all of the group axioms.
Frattini names one of these represented by phi which is the intersection of all of the maximal ones of these.
subgroups [prompt on groups]