"on such ground" is correct and usable in written English.
It is typically used to refer to a basis for a decision or opinion. For example, "We decided to take a different direction based on such ground."
But dwelling on such ground rules is a dodge.
Then it will be my duty to so co-operate with the President elect, as to save the Union between the election and the inauguration; as he will have secured his election on such ground that he cannot possibly save it afterwards".
Even then, however, Lincoln made it clear to his cabinet that between the election and the inauguration he would do whatever he could to "save the union," meaning to win the war, because he knew that his successor, as he put it to his cabinet, "will have secured his election on such ground that he can not possibly save it afterwards".
Currently, soldiers at Ft. Knox, Ky., maintain and train on such ground combat vehicles as the Bradley Armored Fighting Vehicle and the Abrams Tank.
Towns and cities, including parts of Paris Francee), Dzerzhinksk (Russia, Madrid and Zaragoza Spainin), Birzai (Lithuania), and Ripon and Darlington (UK), are developed on such ground requiring local planning guidelines and special construction methods.
While one might disagree with his political assessment on political grounds, he would argue that it is only on such grounds that one can disagree, and that is a dispute for a political forum.
By contrast, not one individual has been subjected to official sanction on such grounds in Japan.
Mergers have previously been derailed on such grounds.
Justice Boehm said judges themselves frequently criticized each other on such grounds.
Several sexual assault cases across branches of the military have been thrown out or curtailed on such grounds.
Justice Ginsburg said that earlier decisions of the court reversing convictions on such grounds arose in markedly different settings.
