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Precize ALGEBRA I

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The entire subject matter in the present book has been arranged in a simple, systematic, graded, lucid and exhaustive manner. Each chapter begins with definitions followed by theorems with complete proofs and solved problems. A large number of notes and remarks have been added for better understanding of the subject. For UGC-CSIR NET examination, some MCQ’s from the previous years papers and other similar questions have been added at the end of the book.

Description

Basic concepts of groups, Permutation groups, Even and odd permutations, Conjugacy classes of permutations, Alternating groups, Cayley Theorem, Direct products, Fundamental Theorem for finite abelian groups, Sylow theorems and their applications, Finite Simple groups.
Survey of some finite groups, Groups of small orders. Solvable groups, Normal and subnormal series, composition series, the theorem of Schreier and Jordan-Holder.
Basic concepts of rings, Polynomial rings, formal power series rings, matrix rings, the ring of Guassian Integers.

Additional information

ISBN

9788192429779

Binding

Paperback

Language

English

Year of Publication

2019

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