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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)
![]() | This article is rated Stub-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | ||||||||||
|
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)