Some remembered him as a dandy who had a good head for figures and, according to Maxim Gorky (who visited and approved Solovetsky Islands in June 1929) and others, a perfect memory.
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Frenkel is best known for his role in the organisation of work in the Gulag, starting from the forced labor camp of the Solovetsky Islands, which is recognised as one of the earliest sites of the Gulag.