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The effect of the strange quark in the finite temperature phase transition ofQCD is studied on the lattice. Using the one-plaquette gauge action and theWilson quark action, the transition in the chiral limit is shown to becontinuous for the case of degenerate two flavors, $N_F=2$, while it is offirst order for $N_F \geq 3$. For a more realistic case of massless up and downquarks and a light strange quark, $N_F=2+1$, clear two state signals areobserved both for $m_s \simeq 150$ and 400 MeV. In contrast to a previousresult with staggered quarks, this suggests a first order transition in thereal world. In order to see the implication of these results to the continuumlimit, we started to study these issues using improved actions. First resultsusing a RG improved gauge action combined with the standard Wilson quark ispresented for the case of $N_F=2$: With this action the finite temperaturetransition is shown to be continuous in the chiral limit confirming the resultof the standard action. Furthermore, not like the case of the standard actionwhere lattice artifacts make the transition once very strong at intermediatevalues of the hopping parameter $K$ on $N_t=4$ and 6 lattices, a smoothcrossover is found for the improved action when we increase $1/K-1/K_c$, inaccord with a naive expectation about the fate of second order chiraltransition at finite $m_q$.Comment: uuencoded compressed PS file, 9 pages, 10 figures, Talk given at the  International Conference {\it Confinement95}, RCNP, Osaka, March 22-24, 199

FINITE TEMPERATURE PHASE TRANSITION IN QCD WITH STRANGE QUARK: STUDY WITH WILSON FERMIONS ON THE LATTICE