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The hyperfine structure, isotope and isomeric shifts in the atomic transition 6p 2['3/2 -7s 2S1/2 , 2 = 535 nm have been measured for the I=7 and I=2 states of 190,192,194, 196T1 ' the I= 1/2 and I=9/2 states of 191T1 and the I= 7 isomer of 18ST1. The thallium isotopes were prepared as fast atomic beams at the GSI on-line mass separator following fusion reactions and -in some cases -subsequent/?-decay. The nuclear dipole moments, electric quadrupole moments and the change in the nuclear mean square charge radius are evaluated. The uuisotopes show an isomeric shift which changes sign between 192T1 and 194T1.