Using a sample of 4.7 fb(-1) integrated luminosity accumulated with the CLE
O-II detector at the Cornell Electron Storage Ring (CESR), we have measured
the ratios of the branching fractions B(tau(-) --> K- h(+) pi(-) nu(tau))/
B(tau(-) --> h(-) h(+) h(-) v(tau)) = (5.16+/-0.20+/-0.50) X 10(-2), B(tau(
-) --> K- h(+) pi(-) pi(0) nu(tau))/B(tau(-) --> h(-) h(+) h(-) pi(0) nu(ta
u)) = (2.54+/-0.44+/-0.39) X 10(-2), B(tau(-) --> K- K+ pi(-) nu(tau))/B(ta
u(-) --> h(-) h(+) h(-) nu(tau)) = (1.52+/-0.14+/-0.29) X 10(-2), and the u
pper limit B(tau(-) --> K- K+ pi(-) pi(0) nu(tau))/B(tau(-) --> h(-) h(+) h
(-) pi(0) nu(tau)) < 0.0154 at 95% C.L. Coupled with additional experimenta
l information, we use our results to extract information on the structure o
f three-prong tau decays to charged kaons. [S0556-2821(99)03319-6].