Table of Contents
Chapter 02: Groups
Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN.
Contents and summary
- Definition (axioms of group)
- Definition ( commutative group )
- Definition (idempotent)
- Properties of Group
- Theorem (The Cancellation Law)
- Theorem (Solution of Linear Equations )
- Subgroups
- Definition ( subgroup )
- Cyclic Groups
- Definition ( cyclic group )
- Cosets-Lagrange’s Theorem
- Permutations
- Cycles
- Transpositions
- Order of a Permutation
- Rings and Fields
- Properties of Rings
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<callout type=“success” icon=“fa fa-download”> Notes by Shahzad Ahmed Khan:
- Exercise 2.1 | VIEW View online | Download PDF
- Exercise 2.2 | VIEW View online | Download PDF
- Exercise 2.3 | VIEW View online | Download PDF
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<callout type=“success” icon=“fa fa-download”> Notes by Shariq Mehtab Syed:
- Exercise 2.1 | VIEW View online | Download PDF
- Exercise 2.2 | VIEW View online | Download PDF
- Exercise 2.3 | VIEW View online | Download PDF
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