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Sphere Packings, Lattices and Groups

covering problem, the quantizing problem, and the classification of lattices and quadratic forms. There is also a description of the applications;

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An Introduction to the Geometry of Numbers

From the reviews: A well-written, very thorough account ... Among the topics are lattices, reduction, Minkowskis Theorem, distance;

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From Error-Correcting Codes through Sphere Packings to Simple Groups

of new simple groups as groups of symmetries. Indeed, new groups were found and are now part of the 'Enormous Theorem' - the classification;

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Lectures on Sphere Arrangements - the Discrete Geometric Side

frontiers of geometric research on sphere arrangements. The readership is aimed at advanced undergraduate and early graduate students, as well as;

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Mordell Weil Lattices

This book lays out the theory of Mordell-Weil lattices, a very powerful and influential tool at the crossroads of algebraic geometry and;

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Buildings, Group Homology and Lattices

, we give a new construction method for buildings of types A2 and C2 with cocompact lattices in their automorphism groups, yielding very;

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Multiplicative Invariant Theory

of algebraic groups, enters through Weyl groups and their root lattices as well as via character lattices of algebraic tori. Throughout the text;

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London Mathematical Society Lecture Note Series

approach relying on the structure lattice. An introduction to lattices, invariant random subgroups and L2-invariants, and a brief account of the;

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Fuchsian Groups

This introductory text provides a thoroughly modern treatment of Fuchsian groups that addresses both the classical material and recent;

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Introduction to Louis Michel's lattice geometry through group action

Group action analysis developed and applied mainly by Louis Michel to the study of N-dimensional periodic lattices is the main subject;

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A Primer of Subquasivariety Lattices

This book addresses Birkhoff and Mal'cev's problem of describing subquasivariety lattices. The text begins by developing the basics;

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Free Lattices

This book explores the surprisingly rich and complex structure of free lattices. The first part of the book presents a complete exposition;

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The Lattice of Subquasivarieties of a Locally Finite Quasivariety

starts with a clear and comprehensive presentation of the basic structure theory of quasivariety lattices, and then develops new methods and;

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Dense Sphere Packings

The 400-year-old Kepler conjecture asserts that no packing of congruent balls in three dimensions ca;...

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Semimodular Lattices

In Semimodular Lattices: Theory and Applications Manfred Stern uses successive generalizations of distributive and modular lattices to;

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Semimodular Lattices

In Semimodular Lattices: Theory and Applications Manfred Stern uses successive generalizations of distributive and modular lattices to;

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Axioms For Lattices And Boolean Algebras

The importance of equational axioms emerged initially with the axiomatic approach to Boolean algebras, groups, and rings, and later;

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The Algebraic Theory of Semigroups, Volume 1

book aims at being largely self-contained, but it is assumed that the reader has some familiarity with sets, mappings, groups, and lattices;

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In the Tradition of Thurston

This book consists of 16 surveys on Thurston's work and its later development. The authors are mathematicians who were strongly influenced;

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Groups

groups, probabilistic group theory, the theory of subgroup growth, hyperbolic lattices in dimension three, generalised triangle groups and;

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Introduction To Algebra

, lattices, categories, Galois theory, and coding theory. The author has included a chapter on constructing the number systems, where he gives three;

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Commensurabilities among Lattices in PU (1,n). (AM-132), Volume 132

. This characterization permits the authors to compare monodromy groups corresponding to different parameters and to prove commensurability;

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Lie Algebras With Triangular Decompositions

the affine case. Also covers lattices, and finite root systems, infinite--dimensional theory, Weyl groups and conjugacy theorems.;

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Banach Lattices and Positive Operators

Vector lattices-also called Riesz spaces, K-lineals, or linear lattices-were first considered by F. Riesz, L. Kantorovic, and H;

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Formal Concept Analysis

was to consider complete lattices as lattices of concepts, drawing motivation from philosophy and mathematics alike. FCA has since then developed;

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Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves

This book presents the most up-to-date and sophisticated account of the theory of Euclidean lattices and sequences of Euclidean lattices;

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Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves

This book presents the most up-to-date and sophisticated account of the theory of Euclidean lattices and sequences of Euclidean lattices;

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