5.3 GROUP THEORY – II
Automorphisms, The Centre of a group, Automorphisms of a cyclic group, Conjugacy,
Normal series, Jordan-Holder Theorem, Solvable groups, Nilpotent groups.
Permutation groups, Cyclic Decomposition, Alternating Group An, Simple groups, Simplicity of A¬n.
Structure Theorems of groups, Direct products, Fundamental Theorem of finitely generated Abelion groups, Invariants of a finite Abelion group, Singlow Theorems, Cauchy theorem, Groups of order p2 and pq.
Basic Abstract algebra by P.B.Bhattacharya, S.K.Jain and S.R.Nagpaul, Cambridge University Press, 1995.
 Algebra by Michael Artin, Prentice Hall of India Private Limited, New Delhi, 1996.
 Topics in Algebra by I.N.Herstien, Second Edition, John Wiley & Sons, NewYork, 1975.
 Algebra by Serge Lang, Third Edition, Pearson Education, 2001.
 A First Course in Abstract Algebra by J.B.Fraileigh, Fifth Edition, Addison-Wesley, 1999.
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