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The general linear group over rationals of degree n {\displaystyle n} , denoted G L ( n , Q ) {\displaystyle GL(n,\mathbb {Q} )} or G L n ( Q ) {\displaystyle GL_{n}(\mathbb {Q} )} , is defined as the general linear group of degree n {\displaystyle n} over the field of rational numbers Q {\displaystyle \mathbb {Q} } .
