English

Algorithmic and asymptotic properties of groups

Group Theory 2007-05-23 v1 Geometric Topology

Abstract

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).

Keywords

Cite

@article{arxiv.math/0602215,
  title  = {Algorithmic and asymptotic properties of groups},
  author = {Mark Sapir},
  journal= {arXiv preprint arXiv:math/0602215},
  year   = {2007}
}

Comments

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