The conjugacy-vectors of all relative holomorphs of an elementary Abelian group of order 16
A subgroup of a finite group is weakly-supplemented in if there exists a proper subgroup of such that . In the paper it is proved that a finite group is -nilpotent provided is the smallest prime number dividing the order of and every minimal subgroup of is weakly-supplemented in where is a Sylow -subgroup of . As applications, some interesting results with weakly-supplemented minimal subgroups of are obtained.
Nel presente lavoro vengono dimostrati teoremi d'esistenza di -complementi normali nei gruppi finiti.