An Introduction to Groups

TRAMA

Designed to introduce A level and first year undergraduate students to the subject, this textbook covers the concepts necessary for a thorough understanding of group theory. The author emphasizes finite groups and the use of permutations to represent the elements. The concepts of subgroups, cosets, conjugacy classes and normal subgroups are also introduced.

NOTE EDITORE

An Introduction to Groups: A Computer Illustrated Text discusses all the concepts necessary for a thorough understanding of group theory. The book covers various theorems, including Lagrange and Sylow. It also details Cayley tables, Burnside's lemma, homomorphisms, and dicyclic groups. The book is ideal for advanced mathematics students and beginning undergraduates.

SOMMARIO

PERMUTATIONSNotationProductsIdentity and InversesOrder and Cycle StructureEven and Odd PermutationsGROUPSBasic Concepts and NotationSubgroups and Cayley TablesCyclic GroupsSubgroups and Generators of Cyclic GroupsCosets and Lagrange's TheoremGROUP ACTIONSDefinition and Action TablesOrbits and StabilizersBurnside's LemmaFurther ApplicationsCONJUGACYIntroductionConjugacy ClassesNormal SubgroupsThe Sylow TheoremsHOMOMORPHISMS AND QUOTIENT GROUPSBasic ConceptsPropertiesThe KernelQuotient GroupsAn Isomorphism TheoremCONSTRUCTING GROUPSDirect ProductsDihedral GroupsDicyclic GroupsMore Constructions

ALTRE INFORMAZIONI

• Condizione: Nuovo
• ISBN: 9780852743775
• Dimensioni: 8 x 5.5 in Ø 0.35 lb
• Formato: Brossura
• Pagine Arabe: 96