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The Lower Algebraic K Theory of Virtually Cyclic Subgroups of the Braid Groups o

This volume deals with the K-theoretical aspects of the group rings of braid groups of the 2-sphere. The lower algebraic K-theory of the;

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Algorithmic Problems in the Braid Group

amalgamations of groups and solve the word problem for the cyclic amalgamation of two braid groups. We then turn to a more general study of the;

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Cohomology of Groups and Algebraic K-theory

algebraic K-theory. Indeed, algebraic K-groups of rings are important invariants of the rings and have played important roles in algebra, topology;

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Braids, Links, and Mapping Class Groups. (AM-82), Volume 82

structural and algebraic properties of the braid groups of two manifolds, and derives systems of defining relations for the braid groups of the plane;

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K-theory in Algebra, Analysis and Topology

, topological cyclic homology, negative $K$-groups of monoid algebras, Milnor $K$-theory and regulators, noncommutative motives, the classification;

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Braid Groups

In this well-written presentation, motivated by numerous examples and problems, the authors introduce the basic theory of braid groups;

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Introduction To The Theory Of Groups

background in group theory. Beginning with introductory examples of the group concept, the text advances to considerations of groups;

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Infinite Abelian Groups

In the Introduction to this concise monograph, the author states his two main goals: first, "to make the theory of infinite abelian groups;

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An Alpine Bouquet of Algebraic Topology

spectra, infinity-categories and Segal spaces, equivariant homotopy theory, algebraic $K$-theory and topological cyclic, periodic, or Hochschild;

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On Non-Generic Finite Subgroups of Exceptional Algebraic Groups

The study of finite subgroups of a simple algebraic group $G$ reduces in a sense to those which are almost simple. If an almost simple;

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Algebraic Modeling of Topological and Computational Structures and Applications

emphasis on braid groups. The research methods include algebraic modeling using topological structures, such as knots, 3-manifolds, classical;

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Complementation of Normal Subgroups

subgroups in finite groups. The contents cover a wide range of material from reduction theorems and subgroups in the derived and lower nilpotent;

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Fundamental Concepts of Abstract Algebra

functions, the text proceeds to an examination of all types of groups, including cyclic groups, subgroups, permutation groups, normal subgroups;

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The Ergodic Theory of Lattice Subgroups (AM-172)

The results established in this book constitute a new departure in ergodic theory and a significant expansion of its scope. Traditional;

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Algebraic Groups

of the classical results of Chevalley and Rosenlicht on the structure of algebraic groups; an enhanced survey of the recently developed theory;

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Class Number Parity

This book deals with classical questions of Algebraic Number Theory concerning the interplay between units, ideal class groups, and;

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Representation Theory and Higher Algebraic K-Theory

Representation Theory and Higher Algebraic K-Theory is the first book to present higher algebraic K-theory of orders and group rings as;

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Representation Theory and Higher Algebraic K-Theory

Representation Theory and Higher Algebraic K-Theory is the first book to present higher algebraic K-theory of orders and group rings as;

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Braids and Self-Distributivity

braid groups and left self-distributive systems, which are sets equipped with a binary operation satisfying the identity x(yz) = (xy)(xz;

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The K-book

questions. Algebraic $K$-theory, which is the main character of this book, deals mainly with studying the structure of rings. However, it turns out;

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Student Solutions Manual for Gallian's Contemporary Abstract Algebra

of Groups 29. Introduction to Algebraic Coding Theory 30. An Introduction to Galois Theory 31. Cyclotomic Extensions Biography;

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Topology of Algebraic Curves

is given to various applications of the theory to a few related areas, most notably singular plane curves of small degree, elliptic surfaces, and;

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London Mathematical Society Student Texts

augmented by examples. The work falls into two strands. The first two chapters develop the elementary theory of Artin Braid groups both;

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London Mathematical Society Student Texts

augmented by examples. The work falls into two strands. The first two chapters develop the elementary theory of Artin Braid groups both;

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K-Theory

over algebraic geometry, topology, algebraic $K$-theory and number theory. Algebraic theory, $\\mathbb{A}^1$-homotopy theory and topological $K$-theory;

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Irreducible Geometric Subgroups of Classical Algebraic Groups

Let $G$ be a simple classical algebraic group over an algebraically closed field $K$ of characteristic $p ge 0$ with natural module $W;

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Group Theory

Well-organized and clearly written, this undergraduate-level text covers most of the standard basic theorems in group theory, providing;

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