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Mathematics, 16.01.2020 23:31 ray109

Let g be a group, h a subgroup of g and n be a normal subgroup of g. show that k=c_g(h) ∩ c_g(n) is a normal subgroup of n_g(h) and that the quotient group n_g(h)/k is isomorphic to a subgroup of aut(hn).

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Let g be a group, h a subgroup of g and n be a normal subgroup of g. show that k=c_g(h) ∩ c_g(n) is...
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