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Examples Of Groups


Examples Of Groups
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Kleinian Groups And Uniformization In Examples And Problems


Kleinian Groups And Uniformization In Examples And Problems
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Author : Samuil Leĭbovich Krushkalʹ
language : en
Publisher: American Mathematical Soc.
Release Date : 1986

Kleinian Groups And Uniformization In Examples And Problems written by Samuil Leĭbovich Krushkalʹ and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.


Presents a unified exposition of the main areas and methods of the theory of Kleinian groups and the theory of uniformization of manifolds. This book lists the basic facts regarding Kleinian groups and serves as a general guide to the primary literature, particularly the Russian literature in the field.



Basic Notions Of Algebra


Basic Notions Of Algebra
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Author : Igor R. Shafarevich
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-08-15

Basic Notions Of Algebra written by Igor R. Shafarevich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-15 with Mathematics categories.


§22. K-theory 230 A. Topological X-theory 230 Vector bundles and the functor Vec(X). Periodicity and the functors KJX). K(X) and t the infinite-dimensional linear group. The symbol of an elliptic differential operator. The index theorem. B. Algebraic K-theory 234 The group of classes of projective modules. K , K and K of a ring. K of a field and o l n 2 its relations with the Brauer group. K-theory and arithmetic. Comments on the Literature 239 References 244 Index of Names 249 Subject Index 251 Preface This book aims to present a general survey of algebra, of its basic notions and main branches. Now what language should we choose for this? In reply to the question 'What does mathematics study?', it is hardly acceptable to answer 'structures' or 'sets with specified relations'; for among the myriad conceivable structures or sets with specified relations, only a very small discrete subset is of real interest to mathematicians, and the whole point of the question is to understand the special value of this infinitesimal fraction dotted among the amorphous masses. In the same way, the meaning of a mathematical notion is by no means confined to its formal definition; in fact, it may be rather better expressed by a (generally fairly small) sample of the basic examples, which serve the mathematician as the motivation and the substantive definition, and at the same time as the real meaning of the notion.



Ansible Linux Users Groups By Examples


Ansible Linux Users Groups By Examples
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Author : Luca Berton
language : en
Publisher: Luca Berton
Release Date :

Ansible Linux Users Groups By Examples written by Luca Berton and has been published by Luca Berton this book supported file pdf, txt, epub, kindle and other format this book has been release on with Computers categories.


Learn the Ansible automation technology with some real-life examples. Every successful IT department needs automation nowadays for bare metal servers, virtual machines, could, containers, and edge computing. Automate your IT journey with Ansible automation technology. I'm going to teach you example by example how to manage users and groups in Linux and macOS operation systems are the most common System Administrator tasks. Each of the 20+ lessons summarizes a specific scenario about user and groups management: creating a user, creating a new pair of a suitable SSH key and a home directory, changing a password and specifying the encryption cipher, removing the home directory and the mailbox, or assigning a special `nologin` shell for temporarily disabled users. Another user scenario that happens very often is when you need only to temporarily disable and enable a user. Another useful administrator tool is group management to assign permission to resources to a bunch of users. You could easily customize the example code with your username and use it in your everyday journey without any additional effort. There are some Ansible codes usable in all the Linux systems, battle-tested for RedHat-like and Debian-like systems. Are you ready to automate your day with Ansible? Examples in the book are tested with the latest version of Ansible 2.9+ and Ansible Core 2.11+.



Numbers Groups And Codes


Numbers Groups And Codes
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Author : J. F. Humphreys
language : en
Publisher: Cambridge University Press
Release Date : 2004-05-13

Numbers Groups And Codes written by J. F. Humphreys and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-05-13 with Mathematics categories.


This textbook is an introduction to algebra via examples. The book moves from properties of integers, through other examples, to the beginnings of group theory. Applications to public key codes and to error correcting codes are emphasised. These applications, together with sections on logic and finite state machines, make the text suitable for students of computer science as well as mathematics students. Attention is paid to historical development of the mathematical ideas. This second edition contains new material on mathematical reasoning skills and a new chapter on polynomials has been added. The book was developed from first-level courses taught in the UK and USA. These courses proved successful in developing not only a theoretical understanding but also algorithmic skills. This book can be used at a wide range of levels: it is suitable for first- or second-level university students, and could be used as enrichment material for upper-level school students.



Groups And Characters


Groups And Characters
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Author : Victor E Hill
language : en
Publisher: CRC Press
Release Date : 2018-12-12

Groups And Characters written by Victor E Hill and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-12 with Mathematics categories.


Group representation theory is both elegant and practical, with important applications to quantum mechanics, spectroscopy, crystallography, and other fields in the physical sciences. This book offers an easy-to-follow introduction to the theory of groups and of group characters. Designed as a rapid survey of the subject, it emphasizes examples and applications of the theorems, and avoids many of the longer and more difficult proofs. The text includes sections that provide the mathematical basis for some of the applications of group theory. It also offers numerous exercises, some stressing computation of concrete examples, others stressing development of the theory.



Groups And Symmetry


Groups And Symmetry
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Author : Mark A. Armstrong
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Groups And Symmetry written by Mark A. Armstrong and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.


Groups are important because they measure symmetry. This text, designed for undergraduate mathematics students, provides a gentle introduction to the highlights of elementary group theory. Written in an informal style, the material is divided into short sections each of which deals with an important result or a new idea. Throughout the book, the emphasis is placed on concrete examples, many of them geometrical in nature, so that finite rotation groups and the seventeen wallpaper groups are treated in detail alongside theoretical results such as Lagrange's theorem, the Sylow theorems, and the classification theorem for finitely generated abelian groups. A novel feature at this level is a proof of the Nielsen-Schreier theorem, using group actions on trees. There are more than three hundred exercises and approximately sixty illustrations to help develop the student's intuition.



Visual Group Theory


Visual Group Theory
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Author : Nathan Carter
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-06-08

Visual Group Theory written by Nathan Carter and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-08 with Education categories.


Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2012! Group theory is the branch of mathematics that studies symmetry, found in crystals, art, architecture, music and many other contexts, but its beauty is lost on students when it is taught in a technical style that is difficult to understand. Visual Group Theory assumes only a high school mathematics background and covers a typical undergraduate course in group theory from a thoroughly visual perspective. The more than 300 illustrations in Visual Group Theory bring groups, subgroups, homomorphisms, products, and quotients into clear view. Every topic and theorem is accompanied with a visual demonstration of its meaning and import, from the basics of groups and subgroups through advanced structural concepts such as semidirect products and Sylow theory.



Leading Psychoeducational Groups For Children And Adolescents


Leading Psychoeducational Groups For Children And Adolescents
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Author : Janice L. DeLucia-Waack
language : en
Publisher: SAGE Publications
Release Date : 2006-05-03

Leading Psychoeducational Groups For Children And Adolescents written by Janice L. DeLucia-Waack and has been published by SAGE Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-03 with Psychology categories.


This book provides readers with direction on how to organize psychoeducational groups while also helping them enhance skills for effectively leading such groups—all in one comprehensive volume! Offering an applied, pragmatic approach, author Janice L. DeLucia-Waack uniquely integrates research and practice to suggest valuable leadership strategies while addressing special issues such as children of divorce, anger management, bullying behaviors, and much more.



A Course On Finite Groups


A Course On Finite Groups
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Author : H.E. Rose
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-16

A Course On Finite Groups written by H.E. Rose and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-16 with Mathematics categories.


Introduces the richness of group theory to advanced undergraduate and graduate students, concentrating on the finite aspects. Provides a wealth of exercises and problems to support self-study. Additional online resources on more challenging and more specialised topics can be used as extension material for courses, or for further independent study.



A First Course In Group Theory


A First Course In Group Theory
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Author : Bijan Davvaz
language : en
Publisher: Springer Nature
Release Date : 2021-11-10

A First Course In Group Theory written by Bijan Davvaz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-10 with Mathematics categories.


This textbook provides a readable account of the examples and fundamental results of groups from a theoretical and geometrical point of view. Topics on important examples of groups (like cyclic groups, permutation groups, group of arithmetical functions, matrix groups and linear groups), Lagrange’s theorem, normal subgroups, factor groups, derived subgroup, homomorphism, isomorphism and automorphism of groups have been discussed in depth. Covering all major topics, this book is targeted to undergraduate students of mathematics with no prerequisite knowledge of the discussed topics. Each section ends with a set of worked-out problems and supplementary exercises to challenge the knowledge and ability of the reader.