6 lines
387 B
TeX
6 lines
387 B
TeX
\section{Definition and Examples}
|
|
|
|
\begin{definition}[External Direct Product]
|
|
Let $G_1,G_2,\dots,G_n$ be a finite collection of groups. The \textit{external direct product} of $G_1,G_2,\dots,G_n$, written as $G_1 \oplus G_2 \oplus \dots \oplus G_n$, is the set of all $n$-tuples for which the $i$th component is an element of $G_i$ and the operation is componentwise.
|
|
\end{definition}
|