For two-element generating sets, infinitely many pairs (C_m*C_n, PSL(2,q)) fail the Neumanns' lifting property, and the first infinite quotients with non-liftable generating pairs are constructed.
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Generating pairs of projective special linear groups that fail to lift
For two-element generating sets, infinitely many pairs (C_m*C_n, PSL(2,q)) fail the Neumanns' lifting property, and the first infinite quotients with non-liftable generating pairs are constructed.