Olshanskii in 1979 that Tarski groups exist, and that there is a Tarski p-group for every prime p > 1075.
Alexander Ol'shanskii beviste i 1979 at sådanne grupper rent faktisk eksisterede og at der findes en Tarski p-gruppe for ethvert primtal p > 10 75 {\displaystyle p>10^{75}} .