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Geometric group theory is the study of the interplay between groups and the spaces they act on, and has its roots in the works of Henri Poincaré, Felix Klein, J.H.C. Whitehead, and Max Dehn. Office Hours with a Geometric Group Theorist brings together leading experts who provide one-on-one instruction on key topics in this exciting and relatively new field of mathematics. It's like having office hours with your most trusted math professors. An essential primer for undergraduates making the leap to graduate work, the book begins with free groups—actions of free groups on trees, algorithmic questions about free groups, the ping-pong lemma, and automorphisms of free groups. It goes on to cov...
Richard Thompson's famous group F has the striking property that it can be realized as a dense subgroup of the group of all orientation-preserving homeomorphisms of the unit interval, but it can also be given by a simple 2-generator-2-relator presentation, in fact as the fundamental group of an aspherical complex with only two cells in each dimension. This monograph studies a natural generalization of F that also includes Melanie Stein's generalized F-groups. The main aims of this monograph are the determination of isomorphisms among the generalized F -groups and the study of their automorphism groups. This book is aimed at graduate students (or teachers of graduate students) interested in a class of examples of torsion-free infinite groups with elements and composition that are easy to describe and work with, but have unusual properties and surprisingly small presentations in terms of generators and defining relations.
Esta obra analiza la presencia del cacao originado en las costas del Guayas (Ecuador) conocido en el mercado mundial como cacao guayaquil. El estudio se centra en el intercambio comercial con Nueva España y los vericuetos de la prohibición comercial entre colonias. Muestra, por una parte, el carácter imperialista de la corona que gobernó sus posesiones del Nuevo Mundo como colonias más que como reinos en el aspecto económico, aunque una de las primeras cosas que el tráfico del cacao puso en evidencia es que la prohibición de la Corona del siglo XVII no detuvo la exportación de cacao, aunque sí frenó el crecimiento de Guayaquil. Por otra parte, la investigación establece el tráfico naviero, los montos de las cargas de cacao que arribaron a Acapulco y las manifestaciones de los precios en el mercado de la ciudad de México y trata de demostrar que la oferta creciente de cacao guayaquil, ayudó a mantener los precios estables en un contexto general de crecimiento de los precios en la segunda parte del siglo XVIII.
The origins of the word problem are in group theory, decidability and complexity. But through the vision of M. Gromov and the language of filling functions, the topic now impacts the world of large-scale geometry. This book contains accounts of many recent developments in Geometric Group Theory and shows the interaction between the word problem and geometry continues to be a central theme. It contains many figures, numerous exercises and open questions.
This book contains the proceedings of two workshops on computational aspects of geometric group theory.
The first Joint AMS-India Mathematics Meeting was held in Bangalore (India). This book presents articles written by speakers from a special session on commutative algebra and algebraic geometry. Included are contributions from some leading researchers around the world in this subject area. The volume contains new and original research papers and survey articles suitable for graduate students and researchers interested in commutative algebra and algebraic geometry.
Surveys the state of the art in geometric and cohomological group theory. Ideal entry point for young researchers.
La Historia Social de las Instituciones Punitivas está necesitada en España de encuentro y debate, de confrontación y colaboración entre investigadores e investigadoras. Solo así logrará hacerse visible e inteligible como tendencia historiográfica y sobre todo como apuesta teórico-metodológica, porque de hecho ya es más que creíble como práctica historiográfica. Aquí, en este libro, junto a los logros también se perfilan las carencias y los retos más acuciantes. Lejos de buscar una autonomía extemporánea, la Historia Social de las Instituciones Punitivas quiere buscar su propia viabilidad a base de intersecciones y buenas mezclas. Esos objetivos se planteaba el Grupo de Est...