Definition:Normal Subset/Definition 6
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Definition
Let $\struct {G, \circ}$ be a group.
Let $S \subseteq G$ be a general subset of $G$.
Then $S$ is a normal subset of $G$ if and only if:
- $\map {N_G} S = G$
where $\map {N_G} S$ denotes the normalizer of $S$ in $G$.
Also see
Sources
- 1967: John D. Dixon: Problems in Group Theory ... (previous) ... (next): Introduction: Notation