Automorphism Group/Examples/Klein Four-Group
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Example of Automorphism Group
The automorphism group of the Klein $4$-group is the Symmetric Group on 3 Letters $S_3$.
Proof
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Sources
- 1971: Allan Clark: Elements of Abstract Algebra ... (previous) ... (next): Chapter $2$: Group Homomorphism and Isomorphism: $\S 64 \zeta$