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Mathematics, 29.11.2019 00:31 july00
Let g be a group. an element of g that can be expressed in the form aba−1 b −1 for some a, b ∈ g is a commutator in g. the preceding exercise shows that there is a smallest normal subgroup c of a group g containing all commutators in g; the subgroup c is the commutator subgroup of g. show that g/c is an abelian group.
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Let g be a group. an element of g that can be expressed in the form aba−1 b −1 for some a, b ∈ g is...
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