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The rate of gravitational wave bursts from the mergers of massive primordialblack holes in clusters is calculated. Such clusters of black holes can beformed through phase transitions in the early Universe. The central black holesin clusters can serve as the seeds of supermassive black holes in galacticnuclei. The expected burst detection rate by the LISA gravitational wavedetector is estimated.

Gravitational Wave Bursts from Collisions of Primordial Black Holes in Clusters