Group Embeddings with Algorithmic Properties
Arman Darbinyan · Communications in Algebra · 2015
We show that every countable group H with solvable word problem can be subnormally embedded into a 2-generated group G which also has solvable word problem. Moreover, the membership problem for H < G is also solvable. We also give estimates of time and space complexity of the word problem in G and of the membership problem for H < G.