Basic Group Theory

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This book on Group theory for undergraduate students (Mathematics), Scholarship test (NBHM, TIFR, JEST), JRF/LS(CSIR-UGC-NET), M.Sc. entrance test (IIT-JAM), Ph.D. admission entrance test (IIT-GATE), Aspirants of Civil Services examinations (UPSC-CSE and IFS, State PCs), DRDO examinations etc. In this book all the topics of group theory are discussed with theory and suitable examples. The book is divided into eight chapters viz. groups, subgroups, normal subgroups, homomorphism, direct products in group theory, Sylow`s theorems, group actions and finite groups. All chapters containing solved examples, solution of previous years question papers of different competitive examinations UPSC(CSE), UPSC(IFS), NBHM, CSIR-UGC-NET, GATE, BPSC, IIT-JAM and exercises.

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Dr. Anil Kumar has been currently working as Head of Mathematics department in A. S. College (A constituent unit of V.K.S. U, Ara) Bikramganj, Rohtas, Bihar, India. He has been more than 18 years of teaching experience in different colleges (Lingaya`s Institute of Management and Technology, Faridabad and Echelon Institute of Technology, Faridabad of MDU Rohtak, Haryana; Vivekananda College of Delhi University) He completed his Intermediate (Science) from Dr. R.M.L. College, Muzaffarpur; B.Sc.(Honours) Mathematics from L.S. College, Muzaffarpur; M. Sc. (Mathematics) and Ph.D. Mathematics (Fuzzy Numbers) from P.G. Department of Mathematics, BRA Bihar University, Muzaffarpur, Bihar, M.Phil. (Mathematics) from Alagappa University, Karaikudi, Tamil Nadu. He qualified CSIR-UGC-NET (Mathematical Sciences) with rank 30. He selected as Lecturer (BPSC 41/2014), as Assistant Professor (BPSC 24/2014) and as Assistant Professor (BPSC 70/2014).

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