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School of Mathematics and Statistics MT5824 Topics in ...

(d) Give an example of a group G and two subgroups H and K such that HK is a subgroup of G but neither H nor K are normal subgroups of G. Solution: (a) Suppose ...

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  1. Normal subgroup
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  2. subgroup定義
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  3. Characteristic subgroup
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  4. Commutator subgroup is normal
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  5. Quotient group
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  6. Conjugate subgroup
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  7. Subgroup of normal subgroup is normal
    8.
  8. Proper subgroup
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