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Title
A first course in group theory / Bijan Davvaz.
ISBN
9789811663659 (electronic bk.)
9811663653 (electronic bk.)
9811663645
9789811663642
Imprint
Singapore : Springer, 2021.
Language
English
Description
1 online resource
Other Standard Identifiers
10.1007/978-981-16-6365-9 doi
Call Number
QA174.2
Dewey Decimal Classification
512/.2
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Digital File Characteristics
text file
PDF
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed November 22, 2021).
Preliminaries Notions
Symmetries of Shapes
Binary Operations
Cyclic Groups
Inverse Functions and Permutations
Group of Arithmetical Functions
Matrix Groups
Translation and Scaling Matrices
Cosets of Subgroups and Lagrange's Theorem
Normal Subgroups and Factor Groups
Some Special Subgroups
Commutators and Derived Subgroups
Maximal Subgroups
Group Homomorphisms
Homomorphisms and Their Properties
Cayley's Theorem
Another View of Linear Groups.
