Kaganovich was a rigid Stalinist, and though he remained in the Presidium, quickly lost influence after Stalin's death in March 1953. In 1957, along with fellow hard-line Stalinist V. Molotov, he participated in an abortive coup against his former protege, Nikita Kruschev, who had over the past two years increasingly condemned his former master, Marshal Stalin. As a result, Kaganovich was forced to retire from the Presidium, and from the Central Committee, though he was permitted to retain his Party membership. Later removed from the Party in 1964, he committed suicide in 1991 after the defeat of the August coup.
I do know for sure that Lazar Kaganovich had at least one brother who emigrated to America and shortened his name.
Check the BPL. I read a book from there by his nephew.... about Lazar Kaganovich.