Explores Lagrange's Theorem, which dictates that the order of a subgroup divides the order of a finite group.
The second phase introduces algebraic structures with two binary operations, mimicking the properties of integers and matrices:
Algebraic extensions, splitting fields, and finite fields.
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"Topics in Abstract Algebra" is a well-regarded textbook that serves as a comprehensive introduction to Abstract Algebra for undergraduate and postgraduate students. Its strength lies in its thorough approach, featuring worked-out examples and a wide range of exercises. The current fourth edition is updated to align with the latest educational standards, such as the Choice Based Credit System (CBCS) . The book was published in its fourth edition in 2022 .
Every abstract definition is immediately followed by step-by-step concrete calculations.
Comprehensive Guide to Abstract Algebra by Sen, Ghosh, and Mukhopadhyay
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A must-have for Indian undergraduate mathematics curriculums.
Comprehensive Guide to Abstract Algebra by Sen, Ghosh, and Mukhopadhyay
