Computer modeling of finite two-generator groups of exponent 5

Let B 0 (2,5, k) be the largest finite, provided by two, Burnside group ofperiod of the 5 th step of nilpotency k, and {a 1, a 2} be generators of this group. In this article the growth functions of the groups B 0(2,5, k) relative to A = {a 1, a- 1, a 2, a- 1}, are calculated for cases k = 1, 2, 3, 4, 5.