In this book, three authors introduce readers to strong approximation methods, analytic pro-p groups and zeta functions of groups. Each chapter illustrates connections between infinite group theory, number theory and Lie theory. The first introduces the theory of compact p-adic Lie groups. The second explains how methods from linear algebraic groups can be utilised to study the finite images of linear groups. The final chapter provides an overview of zeta functions associated to groups and rings. Derived from an LMS/EPSRC Short Course for graduate students, this book provides a concise introduction to a very active research area and assumes less prior knowledge than existing monographs or original research articles. Accessible to beginning graduate students in group theory, it will also appeal to researchers interested in infinite group theory and its interface with Lie theory and number theory.
When Dudo of Saint-Quentin's Historia Normannorum first appeared in or around 1015, written for the then Duke of Normandy, Richard II, Dudo created a text without precedent. By committing the lives and deeds of Richard II's ancestors to written memory for the first time since the foundation of Normandy under the Viking Rollo in 911, Dudo provided the Norman court at Rouen with both an official dynastic historiography and a treasured record of their collective past. The Historia Normannorum was conceived, from the outset, as an idiosyncratic text which purported to be both staunchly traditional and remarkably innovative. By means of a pioneering transdisciplinary combination of Historical Studies, Manuscript Studies, Literary Theory and Cultural Memory Studies, this book explores medieval historiography through a unique and highly innovative lens. The analysis showcases the Historia Normannorum's status as one of the most formative historical narratives of the Middle Ages, one which may even provide the earliest surviving example of an illustrated chronicle from the entire Latin West."--Back cover.
In this book, three authors introduce readers to strong approximation methods, analytic pro-p groups and zeta functions of groups. Each chapter illustrates connections between infinite group theory, number theory and Lie theory. The first introduces the theory of compact p-adic Lie groups. The second explains how methods from linear algebraic groups can be utilised to study the finite images of linear groups. Derived from an LMS/EPSRC Short Course for graduate students, this book provides a concise introduction to a very active research area and assumes less prior knowledge than existing monographs or original research articles. Accessible to beginning graduate students in group theory, it will also appeal to researchers interested in infinite group theory and its interface with Lie theory and number theory.
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