Description
Taylor & Francis An Introduction to Groups A Computer Illustrated Text 1989 Edition by D Asche
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. Table of contents :- 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