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...</math> is a group and <math>H</math> and <math>K</math> are [[subgroup]]s of <math>G</math>. Then, the following are true:
# If <math>L</math> is a subgroup of <math>G</math> contained in <math>H \cup K</math>, then <math>L</math> is c
11 KB (1,997 words) - 09:59, 23 April 2014
Below are many '''equivalent''' definitions of characteristic subgroup.
...ath>H</math> of a group <math>G</math> is called a characteristic subgroup of <math>G</math> if ...
40 KB (4,850 words) - 00:04, 18 March 2019
...rase::kernel of a homomorphism]], [[quick phrase::subgroup that is a union of conjugacy classes]]}}
...ing any of these definitions, we first need to check that we actually have a subgroup.
43 KB (5,764 words) - 13:39, 2 August 2018