Skip navigation Descarga eBooks y libros de texto gratis

Choose a category

Essential Group Theory

Essential Group Theory
Aún no ha sido puntuado
ISBN: 978-87-403-0301-8
1 edición
Páginas : 97
  • Price: 129,00 kr
  • Price: €13,99
  • Price: £13,99
  • Price: ₹250
  • Price: $13,99
  • Price: 129,00 kr
  • Price: 129,00 kr

Descarga GRATIS tus ebooks en 4 sencillos pasos

Lo sentimos, pero para poder descargar nuestros libros o ver nuestros vídeos, necesitas un navegador que permita JavaScript.
¿Podemos sugerirle eBooks gratuitos y noticias relevantes sobre Bookboon?
Después de introducir tu dirección de correo electrónico, recibirás un correo de confirmación. Confirma este correo para recibir el boletín de noticias mensual con respecto a libros de texto gratuitos. Los datos de contacto que nos proporciones no serán proporcionados a terceros.
Unlock your organization's learning potential
See Demo

Corporate eLibrary

Discover our employee learning solutions

This is a Premium eBook

Bookboon Premium - Gain access to over 800 eBooks - without ads

You can get free access for a month to this - and 800 other books with the Premium Subscription. You can also buy the book below

  • Start a 30-day free trial. After trial: 39,99 kr p/m
  • Start a 30-day free trial. After trial: €5,99 p/m
  • Start a 30-day free trial. After trial: £4,99 p/m
  • Start a 30-day free trial. After trial: ₹299 p/m
  • Start a 30-day free trial. After trial: $3,99 p/m
  • Start a 30-day free trial. After trial: 39,99 kr p/m
  • Start a 30-day free trial. After trial: 39,99 kr p/m
Unlock your organization's learning potential
Click here!

Corporate eLibrary

Discover our employee learning solutions

Acerca del libro

  1. Opiniones
  2. Descripción
  3. Contenido


Gerardo Huguet ★★★★☆

Muy bueno, sencillas las explicaciones


Essential Group Theory is an undergraduate mathematics text book introducing the theory of groups. It has been aimed primarily at mathematics students but those studying related disciplines such as computer science or physics should also find it useful. The first part summarizes the important points which will be found in most first undergraduate courses in group theory in brief concise chapters.The second part of the book forms an introduction to presentations of groups.


  1. Sets and Maps
    1. Sets
    2. Maps
    3. Equivalence Relations and Partitions
    4. Modular Arithmetic
  2. Groups
    1. Binary Operations
    2. Groups: Basic Definitions
    3. Examples of Groups
  3. Subgroups
    1. Definition of a Subgroup
    2. Cosets
    3. Lagrange’s Theorem
  4. Generators and Cyclic Groups
    1. Orders of Group Elements
    2. Generating Sets
    3. Cyclic Groups
    4. Fermat’s Little Theorem
  5. Mappings of Groups
    1. Homomorphisms
    2. Isomorphisms
  6. Normal Subgroups
    1. Conjugates and Normal Subgroups
    2. Cosets of Normal Subgroups
    3. Kernels of Homomorphisms
  7. Quotient Groups
    1. Products of Cosets
    2. Quotient Groups
  8. The First Isomorphism Theorem
    1. The First Isomorphism Theorem
    2. Centres and Inner Automorphisms
  9. Group Actions
    1. Actions of Groups
    2. The Orbit-Stabilizer Theorem
  10. Direct Products
    1. Direct Products
    2. Direct Products of Finite Cyclic Groups
    3. Properties of Direct Products
  11. Sylow Theory
    1. Primes and p-Groups
    2. Sylow’s Theorem
  12. Presentations of Groups
    1. Introduction to Presentations
    2. Alphabets and Words
    3. Von Dyck’s Theorem
    4. Finitely Generated and Finitely Presented Groups
    5. Dehn’s Fundamental Algorithmic Problems
  13. Free Groups
    1. Reduced Words and Free Groups
    2. Normal Closure
    3. Torsion Free Groups
  14. Abelian Groups
    1. Commutator Subgroups and Abelianisations
    2. Free Abelian Groups
    3. Finitely Generated Abelian Groups
    4. Generalisations of Abelian Groups
  15. Transforming Presentations
    1. Tietze Transformations
    2. Properties of Tietze Transformations
  16. Free Products
    1. Free Products
    2. A Normal Form for Free Products
    3. The Universal Property of Free Products
    4. Independence of Presentation
    5. Decomposability
  17. Free Products With Amalgamation
    1. Free Products with Amalgamation
    2. Pushouts
    3. Independence of Presentation
  18. HNN Extensions
    1. HNN Extensions
    2. Relation to Free Products with Amalgamation
    3. The Higman-Neumann-Neumann Embedding Theorem
  19. Further Reading
  20. Bibliography
  21. Index
This website uses cookies to improve user experience. By using our website you consent to all cookies in accordance with EU regulation.