Algorithmic and asymptotic properties of groups

Details Algorithmic and asymptotic properties of groups Algorithmic and asymptotic properties of groups

2006-02-10

arxiv.org/abs/math/0602215v1

Mathematics

Group Theory

To appear in the Proceedings of ICM in Madrid, 22 pages

Scientific paper

This is a survey of the recent work in algorithmic and asymptotic properties
of groups. I discuss Dehn functions of groups, complexity of the word problem,
Higman embeddings, and constructions of finitely presented groups with extreme
properties (monsters).

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