Perfumania's Internet-based subsidiary perfumania.com filed for an initial public offering today of 2.5 million shares priced at $7-$9 each. The offering will represent about 33 percent of the unit's shares. Perfumania shares closed Friday at $3.06, down from the year's high of $13.94. Cruttenden Roth and Pennsylvania Merchant Group are lead underwriters of the IPO. Perfumania.com is an online store selling perfumes, fragrance-related products, and bath and body products.