Symbols:G/General Linear Group

General Linear Group

$\GL {n, K}$

$\GL n$

$\map {\mathrm {GL}_n} K$

$\map {\mathrm {Gl} } {n, r}$

$\GL {n, K}$ is used to denote the general linear group of degree $n$ over the field $K$.

$\GL n$ can be used if the field is implicit.

Some sources use the notation $\map {\mathrm {GL}_n} K$.

If $K$ is a Galois field of order $q$, the notations $\map {\mathrm {GL}_n} q$ and $\GL {n, q}$ are also seen.

Some sources use $\map {\mathrm {Gl} } {n, r}$ for $\GL {n, \R}$.

Variants of $\mathrm {GL}$ can be seen, for example $\map {GL} {n, K}$ and so on.

The $\LaTeX$ code for $\GL {n, K}$ is \GL {n, K} .

The $\LaTeX$ code for $\GL n$ is \GL n .

The $\LaTeX$ code for $\map {\mathrm {Gl} } {n, r}$ is \map {\mathrm {Gl} } {n, r} .

The $\LaTeX$ code for $\map {\mathrm {GL}_n} K$ is \map {\mathrm {GL}_n} K .

The $\LaTeX$ code for $\map {GL} {n, K}$ is \map {GL} {n, K} .