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Last Letter from Istanbul by Lucy Foley Read the opening extract of the brand new Lucy Foley book before its publication on 19/03/2018

Groups & group theory books

See below for a selection of the latest books from Groups & group theory category. Presented with a red border are the Groups & group theory books that have been lovingly read and reviewed by the experts at Lovereading.

With expert reading recommendations made by people with a passion for books and some unique features Lovereading will help you find great Groups & group theory books and those from many more genres to read that will keep you inspired and entertained. And it's all free!


Recently Published

The Classification of the Finite Simple Groups, Number 5 by Daniel Gorenstein, Richard Lyons, Ronald Solomon The Classification of the Finite Simple Groups, Number 5
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The classification of finite simple groups is a landmark result of modern mathematics. This work presents critical aspects of the classification. It begins with the proof of a major theorem from the classification grid, namely Theorem $\mathcal{C}_7$. It is suitable...
Format: Hardback - Released: 20/02/2018

Oval Track and Other Permutation Puzzles And Just Enough Group Theory to Solve Them by John O. (Northern Michigan University) Kiltinen Oval Track and Other Permutation Puzzles And Just Enough Group Theory to Solve Them

Book and CD explaining how to apply group theory to solve a range of popular puzzles.
Format: Mixed media product - Released: 20/02/2018

The Classification of the Finite Simple Groups by The Classification of the Finite Simple Groups

Presents key ideas and theorems underlying the study of finite simple groups and their important subgroups. This book contains sections on semisimple subgroups and subgroups of parabolic type. It also contains the signalizer section that provides an extensive development of...
Format: Hardback - Released: 20/02/2018

The Classification of the Finite Simple Groups No. 4: Part II, Chapters 1-4; Uniqueness Theorems by The Classification of the Finite Simple Groups No. 4: Part II, Chapters 1-4; Uniqueness Theorems

Presents the analysis of a minimal counterexample $G$ to the theorem. This book examines the Bender-Suzuki theorem on strongly embedded subgroups (for which the non-character-theoretic part of the proof is provided) and Aschbacher's Component theorem.
Format: Hardback - Released: 20/02/2018

New Directions in Locally Compact Groups by Pierre-Emmanuel Caprace New Directions in Locally Compact Groups

A snapshot of the major renaissance happening today in the study of locally compact groups and their many applications.
Format: Paperback - Released: 08/02/2018

On Characters of Finite Groups by Michel Broue On Characters of Finite Groups

This book explores the classical and beautiful character theory of finite groups. It does it by using some rudiments of the language of categories. Originally emerging from two courses offered at Peking University (PKU), primarily for third-year students, it is...
Format: Hardback - Released: 29/01/2018

Geometric Group Theory An Introduction by Clara Loeh Geometric Group Theory An Introduction

Inspired by classical geometry, geometric group theory has in turn provided a variety of applications to geometry, topology, group theory, number theory and graph theory.
Format: Paperback - Released: 19/01/2018

Special Metrics and Group Actions in Geometry by Simon G. Chiossi Special Metrics and Group Actions in Geometry

The volume is a follow-up to the INdAM meeting Special metrics and quaternionic geometry held in Rome in November 2015. It offers a panoramic view of a selection of cutting-edge topics in differential geometry, including 4-manifolds, quaternionic and octonionic geometry,...
Format: Hardback - Released: 08/12/2017

Coming Soon

Lectures on the Orbit Method by Lectures on the Orbit Method

Describes the essence of the orbit method for non-experts and gives a detailed exposition of the method. This work can be used as a text for a graduate course, as well as a handbook for non-experts and a reference book...
Format: Hardback - Released: 26/02/2018

An Introduction to the Representation Theory of Groups by Emmanuel Kowalski An Introduction to the Representation Theory of Groups

Representation theory is an important part of modern mathematics, not only as a subject in its own right but also as a tool for many applications. It provides a means for exploiting symmetry, making it particularly useful in number theory,...
Format: Hardback - Released: 27/02/2018

Infinite Group Theory: From The Past To The Future by Benjamin (Fairfield Univ, Usa) Fine Infinite Group Theory: From The Past To The Future
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The development of algebraic geometry over groups, geometric group theory and group-based cryptography, has led to there being a tremendous recent interest in infinite group theory. This volume presents a good collection of papers detailing areas of current interest.
Format: Hardback - Released: 27/02/2018

Geometric Group Theory by Cornelia Drutu, Michael Kapovich Geometric Group Theory
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Filling a big gap in the literature, this book contains proofs of several fundamental results of geometric group theory, such as Gromov's theorem on groups of polynomial growth, Tits's alternative, Stallings's theorem on ends of groups, Dunwoody's accessibility theorem, the...
Format: Hardback - Released: 28/02/2018

Invariant Theory of Finite Groups by Mara D. Neusel, Larry Smith Invariant Theory of Finite Groups
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The questions that have been at the center of invariant theory since the 19th century have revolved around the following themes: finiteness, computation, and special classes of invariants. This book begins with a survey of many concrete examples chosen from...
Format: Paperback - Released: 02/03/2018

Subgroup Complexes by Stephen D. Smith Subgroup Complexes


Format: Hardback - Released: 05/03/2018

Hecke Algebras with Unequal Parameters by Hecke Algebras with Unequal Parameters

Hecke algebras arise in representation theory as endomorphism algebras of induced representations. In 1979, in the simplest (equal parameter) case of such Hecke algebras, Kazhdan and Lusztig discovered a particular basis (the KL-basis) in a Hecke algebra. This book extends...
Format: Hardback - Released: 05/03/2018

Differential Geometry, Lie Groups and Symmetric Spaces by Differential Geometry, Lie Groups and Symmetric Spaces

Presents an introduction to differential geometry. This book then introduces Lie groups and Lie algebras. It concludes with the classification of symmetric spaces by means of the Killing-Cartan classification of simple Lie algebras over $\mathbf{C}$ and Cartan's classification of simple...
Format: Hardback - Released: 05/03/2018

Pioneers of Representation Theory Frobenius, Burnside, Schur and Brauer by Charles W. Curtis Pioneers of Representation Theory Frobenius, Burnside, Schur and Brauer

Discusses representations of finite groups. This book contains some of the results involving characters of finite abelian groups by Lagrange, Gauss, and Dirichlet. It is suitable for a course on representations of finite groups.
Format: Paperback - Released: 05/03/2018

Collected Papers V (Posthumous) Harmonic Analysis in Real Semisimple Groups by Harish-Chandra Collected Papers V (Posthumous) Harmonic Analysis in Real Semisimple Groups

This volume is to be regarded as the fifth in the series of Harish-Chandra's collected papers, continuing the four volumes already published by Springer-Verlag.
Format: Hardback - Released: 08/03/2018

The Theory of Group Characters and Matrix Representations of Groups by The Theory of Group Characters and Matrix Representations of Groups

Starts with necessary information about matrices, algebras, and groups. This title then proceeds to representations of finite groups. It includes several chapters dealing with representations and characters of symmetric groups and the closely related theory of symmetric polynomials.
Format: Hardback - Released: 09/03/2018

Kazhdan-Lusztig Cells with Unequal Parameters by Cedric Bonnafe Kazhdan-Lusztig Cells with Unequal Parameters

This monograph provides a comprehensive introduction to the Kazhdan-Lusztig theory of cells in the broader context of the unequal parameter case. Serving as a useful reference, the present volume offers a synthesis of significant advances made since Lusztig's seminal work...
Format: Hardback - Released: 17/03/2018

The Theory of Groups by Marshall Hall The Theory of Groups


Format: Paperback - Released: 30/03/2018

Permutation Groups and Cartesian Decompositions by Cheryl E. (University of Western Australia, Perth) Praeger, Csaba (Universidade Federal de Minas Gerais, Brazil) Schneider Permutation Groups and Cartesian Decompositions
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Concise introduction to permutation groups, focusing on invariant cartesian decompositions and applications in algebra and combinatorics.
Format: Paperback - Released: 00/05/2018

Inverse Galois Theory by Gunter Malle, B.H. Matzat Inverse Galois Theory
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Among others, this monograph presents the most successful existence theorems known and construction methods for Galois extensions as well as solutions for embedding problems combined with a collection of the existing Galois realizations.
Format: Hardback - Released: 14/05/2018

Other books in this genre

Algorithmic and Geometric Topics Around Free Groups and Automorphisms by Volker Diekert, Pedro V. Silva, Armin Weiss Algorithmic and Geometric Topics Around Free Groups and Automorphisms
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This volume presents the lecture notes from the authors' three summer courses offered during the program Automorphisms of Free Groups: Geometry, Topology, and Dynamics, held at the Centre de Recerca Matematica (CRM) in Bellaterra, Spain. The first two chapters present...
Format: Paperback - Released: 07/12/2017

The Theory of Nilpotent Groups by Anthony E. Clement, Stephen Majewicz, Marcos Zyman The Theory of Nilpotent Groups
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This monograph presents both classical and recent results in the theory of nilpotent groups and provides a self-contained, comprehensive reference on the topic.
Format: Hardback - Released: 28/11/2017

Group Theory and its Applications by Prasanta Kumar Patra, Ram Kumar Thapa Group Theory and its Applications
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GROUP THEORY AND ITS APPLICATIONS explains in detail how to determine the symmetry operations and symmetry elements of different molecules and then goes on to present how to determine the character tables of different groups with examples illustrating the procedure...
Format: Hardback - Released: 31/10/2017

Property ($T$) for Groups Graded by Root Systems by Mikhail Ershov, Andrei Jaikin-Zapirain, Martin Kassabov Property ($T$) for Groups Graded by Root Systems
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Introduces and studies the class of groups graded by root systems. The authors prove that if $\Phi$ is an irreducible classical root system of rank $\geq 2$ and $G$ is a group graded by $\Phi$, then under certain natural conditions...
Format: Paperback - Released: 30/10/2017

Geometric and Cohomological Group Theory by Peter H. (University of Southampton) Kropholler Geometric and Cohomological Group Theory

Surveys the state of the art in geometric and cohomological group theory. Ideal entry point for young researchers.
Format: Paperback - Released: 19/10/2017

Finite Simple Groups Thirty Years of the Atlas and Beyond by Manjul Bhargava Finite Simple Groups Thirty Years of the Atlas and Beyond

Contains the proceedings of the international conference Finite Simple Groups: Thirty Years of the Atlas and Beyond Celebrating the Atlases and Honoring John Conway . The main objective of the conference was to discuss applications of the Atlases and to...
Format: Paperback - Released: 30/09/2017

Lie Groups, Differential Equations, and Geometry Advances and Surveys by Giovanni Falcone Lie Groups, Differential Equations, and Geometry Advances and Surveys

From representation theory and Gerstenhaber algebras to control theory, from differential equations to Finsler geometry and Lepage manifolds, the book introduces young researchers in Mathematics to a wealth of different topics, encouraging a multidisciplinary approach to research.
Format: Hardback - Released: 28/09/2017

Algebraic Groups The Theory of Group Schemes of Finite Type over a Field by J. S. (University of Michigan, Ann Arbor) Milne Algebraic Groups The Theory of Group Schemes of Finite Type over a Field
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Comprehensive introduction to the theory of algebraic group schemes over fields, based on modern algebraic geometry, with few prerequisites.
Format: Hardback - Released: 21/09/2017

Hyperbolic Geometry And Geometric Group Theory by BB Hyperbolic Geometry And Geometric Group Theory

The 7th Seasonal Institute of the Mathematical Society of Japan on Hyperbolic Geometry and Geometric Group Theory was held in 2014, at the University of Tokyo. This volume, the proceedings of the meeting, collects survey and research articles in this...
Format: Hardback - Released: 21/09/2017

Wagner's Theory of Generalised Heaps by Christopher Hollings, Mark V. Lawson Wagner's Theory of Generalised Heaps
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The theories of V. V. Wagner (1908-1981) on abstractions of systems of binary relations are presented here within their historical and mathematical contexts. This book contains the first translation from Russian into English of a selection of Wagner's papers, the...
Format: Hardback - Released: 18/09/2017

Esercizi Scelti Di Algebra Volume 1 by Rocco Chirivi, Ilaria del Corso, Roberto Dvornicich Esercizi Scelti Di Algebra Volume 1
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Format: Paperback - Released: 18/09/2017

Intimate Relationships Issues, Theories, and Research by Ralph (DePaul University, USA) Erber, Maureen Wang (Northeastern Illinois University, USA) Erber Intimate Relationships Issues, Theories, and Research
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Revised edition of the authors' Intimate relationships, c2011.
Format: Hardback - Released: 04/09/2017

Profinite Graphs and Groups by Luis Ribes Profinite Graphs and Groups

This book offers a detailed introduction to graph theoretic methods in profinite groups and applications to abstract groups. It is the first to provide a comprehensive treatment of the subject. The author begins by carefully developing relevant notions in topology,...
Format: Hardback - Released: 01/09/2017

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