The article defines a property of groups, where the definition may be in terms of a particular prime that serves as parameter
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A finite group is termed a -dominated group for some prime if it satisfies the following conditions:
- is a finite complete group: in other words, is complete: it is centerless and every automorphism of the group is inner.
- The Fitting subgroup is a -group.
- The quotient is a -group (i.e., its order is relatively prime to ). In fact, is a semidirect product of and a -group.