Group Theory By Sudesh Kumari Shah
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This book meets the curriculum requirements of the University ofDelhi It specifically caters to the syllabus of Group Theorycovered in Algebra II Semester 3 and Algebra V Semester 6 andfollows an easy paced treatment of the basic concepts Learning objectives at the beginning of each chapter Concepts illustrated with 550 solved examples Stepwise proofs of 200 theorems Chapter wise summary for ready reference Graded exercises Concepts reinforced by true false questions Answers hints to all the 540 unsolved problems 1 Definition and Examples of Groups 2 Properties and Characterizations of Groups 3 Subgroups 4 Cyclic Groups 5 Dihedral and Quarternion Groups 6 Permutation Groups I 7 External Direct Products 8 Isomorphisms 9 Lagrange s Theorem 10 Normal Subgroups 11 Factor Groups 12 Homomorphisms 13 Automorphisms 14 Centralizer Normalizer and Centre 15 Direct Products 16 Fundamental Theorem of Finite Abelian Groups 17 Group Action 18 Permutation Representation of a Group 19 Generalized Cayley s Theorem 20 Conjugacy and Class Equation 21 Permutation Groups II 22 Sylow s Theorems and Non Simplicity Tests 23 Composition Series 24 Solvable Groups Dr Sudesh Kumari Shah is Associate Professor atthe Department of Mathematics.
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Description Designed as a text for undergraduate students of mathematics Sri Venkateswara College Universityof Delhi An alumnus of IIT Delhi she has been teachingundergraduate and postgraduate students of the University of Delhifor than 30 years Dr Asha Gauri Shankar is Associate Professor atthe Department of Mathematics Lakshmibai College University ofDelhi She obtained a Ph. Group theory deep learning D from Imperial College London She wasawarded Teacher of Excellence in 2009 by the University ofDelhi The award was conferred by Dr A P J Abdul Kalam Group TheoryHow to read online this book please help me Sudesh Kumari Shah
| Group Theory By Sudesh Kumari Shah |
| 813178763X |
| 416 |
| Paperback |
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