V. Leontiev

The Collection Formula and Regular p-Groups

For any elements x, y of a group G and for any positive integer n, we obtain the collection formula for the n-th power of the product xy when all commutators in G that have more than 3 occurrences of the element y are equal to 1. Suppose n = p is a prime number, and any commutator weighting more than p − 1 has an order...