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Non-positive curvature and complexity for finitely presented groups

Abstract:

A universe of finitely presented groups is sketched and explained, leading to a discussion of the fundamental role that manifestations of non-positive curvature play in group theory. The geometry of the word problem and associated filling invariants are discussed. The subgroup structure of direct products of hyperbolic groups is analysed and a process for encoding diverse phenomena into finitely presented subdirect products is explained. Such an encoding is used to solve problems of Grothendi...

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Volume:
2
Pages:
961-987
Publication date:
2006-01-01
URN:
uuid:e205e441-b43f-43cd-8423-7c61e9117d50
Source identifiers:
201432
Local pid:
pubs:201432

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