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Talk:Normal closure (group theory)

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This is an old revision of this page, as edited by 72.226.86.106 (talk) at 16:50, 7 September 2014 (response to 3-year-old comment). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

This seems wrong. The conjugate closure should give the union of all conjugacy classes containing S, not the smallest normal subgroup containing S. For example, take S = { x } with x != 0, then the conjugate closure of S in (R,+) is just S. However S is not a subgroup of R. The statement would be true if S contained the identity however. — Preceding unsigned comment added by 76.204.99.5 (talk) 22:12, 6 May 2011 (UTC)[reply]

  • The conjugate closure is the subgroup GENERATED by S^G (thus written <S^G>). I made the same error about S={}. --72.226.86.106 (talk) 16:50, 7 September 2014 (UTC)[reply]
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