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arXiv · 1708.04397

Group Embeddings with Algorithmic Properties

Arman Darbinyan
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Abstract

We show that every countable group H with solvable word problem (=computable group) 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.

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Arman Darbinyan. 2017-08-15. Group Embeddings with Algorithmic Properties. https://doi.org/10.1080/00927872.2014.955579

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