p-group

In mathematical group theory, given a prime number p, a p-group is a group in which each element has a power of p as its order. That is, for each element g of a p-group, there exists a nonnegative integer n such that the product of pⁿ copies of g, and not less, is equal to the identity element. The orders of different elements may be different powers of p. Such groups are also called p-primary or simply primary.

P was a short-lived American alternative rock band formed in early 1993 by Butthole Surfers frontman Gibby Haynes (vocals), actor Johnny Depp (guitar/bass), actor Sal Jenco (percussion), and songwriter Bill Carter (guitar/bass).