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Practice problem

Group Theory

By Victor Wang

Suppose A,B,A′,B′A,B,A',B' are subgroups of an abelian group GG, with:

  • A≥BA\geq B (i.e. AA contains BB);
  • A′≥B′A'\geq B'; and
  • A≤A′A\leq A'.

When does the inclusion map A→A′A\to A' induce a map A/B→A′/B′A/B \to A'/B'? Give the most general correct answer.

Choose one answer

Type a concept, like “slope” or “photosynthesis”.

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