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The Higman Embedding theorem says that any finitely generated recursively presented group can be embedded in a finitely presented group.

My question is if one can embed such a group as a normal subgroup into a finitely presented group?

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Mustafa: would you mind posting a short answer indicating that Mark Sapir answered your question on MO, so that this question can be considered closed? There are now two votes to close as "too localized" which I don't think it is. –  t.b. Sep 10 '12 at 21:50

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This question was answered in Mo by Mark Sapir

http://mathoverflow.net/questions/73076/higman-embedding-theorem

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