It has been calledacne necrotica, acne necrotica miliaris, acne varioliformis,
acne frontalis,
acne atrophica, or pustular perifolliculitis.
Acne necrotica is actually a misnomer, because it is not a variant of acne and bears only a superficial resemblance to an acneiform eruption. We suggest the termnecrotizing lymphocytic folliculitis.
http://link.springer.com/chapter/10.