A CERTAIN SUBGROUP OF THE FUNDAMENTAL GROUP OF A TRANSFORMATION GROUP

In this paper, we want to find a subgroup HJ(f, $x_{0}$, G) of the extended Jiang subgroup of a transformation group which is contained in Z( $f_{\sigma}$(.sigma.(X, $x_{0}$, G)), .sigma.(X, f( $x_{0}$), G)) and is an extension of the Jiang subgroup J(f, $x_{0}$). This is, if the acting group G is the trivial group {1x}, then this is the Jiang's results.ults..ults.