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Note on congruence classes of n-groups

In the paper the following proposition is proved. Let (Q,A) be an n−group, |Q| ∈ N\{1}, and let n ≥ 3. Further on, let Θ be an arbitrary congruence of the n−group (Q,A) and let Ct be an arbitrary class from the set Q/Θ. Then there is a k ∈ N such that the pair (Ct, k A) is a (k(n − 1) + 1)−subgroup of the (k(n − 1) + 1)−group