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Why only normal subgroup is used to obtain group quotient

Hello! As far as I know any subgroup can, in principle, be used to divide group into bundle of cosets. Then any group element belongs to one ...

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查詢 「Normal subgroup」的人也找了：

  1. Normal subgroup
    2.
  2. subgroup定義
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  3. Characteristic subgroup
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  4. Commutator subgroup is normal
    5.
  5. Quotient group
    6.
  6. Conjugate subgroup
    7.
  7. Subgroup of normal subgroup is normal
    8.
  8. Proper subgroup
    9.