# Symbols:K

## kilo-

- $\mathrm k$

The Système Internationale d'Unités metric scaling prefix denoting $10^{\, 3 }$.

Its $\LaTeX$ code is `\mathrm {k}`

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## Subgroup

- $K$

Frequently used, in conjunction with $H$, to represent a general subgroup of a given group $G$ when two such subgroups need to be discussed.

## Field

- $K$

One of the letters used as a variable denoting a general field.

### Field as an Algebraic Structure

- $\left({K, +, \circ}\right)$

The full specification for a field, where $+$ and $\circ$ are respectively the addition and product operations.

The $\LaTeX$ code for \(\left({K, +, \circ}\right)\) is `\left({K, +, \circ}\right)`

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## Kernel

- $K$

Often used to denote the kernel of a general homomorphism