TITLE: Higman embedding theorem
QUESTION [9 upvotes]: 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?

REPLY [2 votes]: This question was answered in Mo by Mark Sapir
https://mathoverflow.net/questions/73076/higman-embedding-theorem