Definition:Short Exact Sequence of Groups
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Definition
Let $\left({G, \cdot}\right)$ be a group.
An exact sequence of the form
- $1 \longrightarrow K \stackrel{\alpha}{\longrightarrow} G \stackrel{\beta}{\longrightarrow} H \longrightarrow 1$
is called a short exact sequence, where $1$ represents the trivial group.