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An Introduction to Groups A Computer Illustrated Text




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Dettagli

Genere:Libro
Lingua: Inglese
Pubblicazione: 01/1989
Edizione: 1° edizione





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

ISBN:

9780852743775

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


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