St. John Chrysostom, who wrote and spoke Greek in the 4th century does not agree with your interpretation.  
 
The question is whether the admonishment applies only to the woman of Corinth, which you answer in the following statement.
 
 
Now the question becomes which came first: Was it the culture that dictated that women be silent in church, or was it church and Paul's authority that dictated then, and for centuries afterward, the culture. 
 
If this was a Jewish congregation then you would have a point, but it is not, and there were many pagan "women in charge" and high priestess' in that paticular culture. Also the arguement that Paul was forcing Jewish cultural mores upon the woman of Corinth only, makes little sense, and is inconsistent with his other epistles.