  In this paper, we construct Chern class maps and cycle class maps with values
in p-adic \'etale Tate twists [S2]. We also relate the p-adic \'etale Tate
twists with the finite part of Bloch-Kato. As an application, we prove that the
integral part of p-adic regulator maps has values in the finite part of Galois
cohomology under certain assumptions.
