The purpose of this book is to describe the global properties of complete simply connected
spaces that are non-positively curved in the sense of AD Alexandrov and to examine the …

arxiv:math/0202286v1 [math.GR] 27 Feb 2002 Page 1 arxiv:math/0202286v1 [math.GR] 27 Feb
2002 2000]Primary: 20F67; Secondary: 19K, 20F65, 20F69, 22E, 22D, 30C, 30F, 43A, 46E, 46L …

The core material of the book should be accessible to third year students, requiring only a
basic acquaintance with group theory, metric spaces, and point-set topology. I tried to keep …

We give a precise definition of “generic-case complexity” and show that for a very large class
of finitely generated groups the classical decision problems of group theory—the word …

Photometric redshifts are estimated on the basis of template scenarios with the help of the
code Z-PEG, an extension of the galaxy evolution model PÉGASE. 2 and available on the …

W= 1Is.~ R?'1S.-'1 (1) i= 1 in the free group F= F (/1), where S, EF and R, G R. The group G
is (word) hyperbolic (or negatively curved) if there exists a linear function bounding the …

A 3-manifold is Haken if it contains a topologically essential surface. The Virtual Haken
Conjecture posits that every irreducible 3-manifold with infinite fundamental group has a …

This book presents the foundations of the theory of groups and semigroups acting
isometrically on Gromov hyperbolic metric spaces. Particular emphasis is paid to the …

This paper contains a survey of recent developments in the investigation of word equations
in simple matrix groups and polynomial equations in simple (associative and Lie) matrix …

The 1973 Boone-Higman conjecture predicts that every finitely generated group with
solvable word problem embeds in a finitely presented simple group. In this paper, we show …