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Finitely generated groups

  1. Jul 8, 2008 #1

    tgt

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    Could a finitely generated group contain a subgroup which is infinitely generated? Why?
     
  2. jcsd
  3. Jul 8, 2008 #2

    CompuChip

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    What does it mean that a group G is finitely generated? Can you give a definition?
    What does a subgroup of G look like?
     
  4. Jul 8, 2008 #3

    gel

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    Consider the free group generated by two elements a and b. I think you should be able to show that the subgroup generated by terms of the form bnab-n is not finitely generated.
     
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