An equivalence relation R on a group G is said to be compatible with the group structure of G if aRb and cRd =? acRbd, ?a, b, c, d ? G.Show that R is such a relation the equivalence class that contains the identity is anormal subgroup H of G and the equivalence class that contain any x ? G is thecoset xH.
This question was answered on: Sep 21, 2023
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