Bogomolov Multipliers of Groups of Order 128

This note describes an algorithm for computing Bogomolov multipliers of finite solvable groups. Compared to the existing ones, this algorithm has improved performance and is able to recognize the commutator relations of the group that constitute its Bogomolov multiplier. As a sample case we use the algorithm to effectively determine the multipliers of groups of order 128. The two serving purposes are a continuation of the results of Chu et al. on Bogomolov multipliers of groups of order 64, and to utilize one of the key steps of another paper by the authors dealing with probabilistic aspects of universal commutator relations.