  H. Bass defined orthogonal transvection group of an orthogonal module and
elementary orthogonal transvection group of an orthogonal module with a
hyperbolic direct summand. We also have the notion of relative orthogonal
transvection group and relative elementary orthogonal transvection group with
respect to an ideal of the ring. According to the definition of Bass relative
elementary orthogonal transvection group is a subgroup of relative orthogonal
transvection group of an orthogonal module with hyperbolic direct summand. Here
we show that these two groups are the same in the case when the orthogonal
module splits locally.
