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.
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SUMMARY OR ABSTRACT
Text of Note
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.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9789811663642
Bibliographic Record Identifier
(OCoLC)1264719224.
TOPICAL NAME USED AS SUBJECT
Entry Element
Group theory.
(SUBJECT CATEGORY (Provisional
Subject Category Subdivision Code
PBG
Subject Category Subdivision Code
MAT002010
Subject Category Subdivision Code
PBG
System Code
bicssc
System Code
bisacsh
System Code
thema
DEWEY DECIMAL CLASSIFICATION
Number
512/
.
2
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA174
.
2
Book number
.
D2
2021
PERSONAL NAME - PRIMARY RESPONSIBILITY
Entry Element
Davvaz, Bijan.
CORPORATE BODY NAME - SECONDARY RESPONSIBILITY
Entry Element
Ohio Library and Information Network.
ORIGINATING SOURCE
Agency
کتابخانه مرکزی و مرکز اطلاع رسانی دانشگاه
Date of Transaction
20231009040932.0
Cataloguing Rules (Descriptive Conventions))
rda
ELECTRONIC LOCATION AND ACCESS
Date and Hour of Consultation and Access
A First Course in Group Theory-Springer (2021).pdf