====== Chapter 02: Groups ======
{{ :bsc:notes_of_mathematical_method:ch02-methods-ads.jpg?nolink&640x800|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
====View online or download====
**Notes by Shahzad Ahmed Khan:**
* **Exercise 2.1** | VIEW [[:BSc:Notes of Mathematical Method:Ch02 Groups:Viewer?f=ch02/Chap-02-Solutions-Ex-2-1-Method-SAK|View online]] | [[pdf>files/bsc/method/dn.php?file=ch02/Chap-02-Solutions-Ex-2-1-Method-SAK.pdf|Download PDF]]
* **Exercise 2.2** | VIEW [[:BSc:Notes of Mathematical Method:Ch02 Groups:Viewer?f=ch02/Chap-02-Solutions-Ex-2-2-Method-SAK|View online]] | [[pdf>files/bsc/method/dn.php?file=ch02/Chap-02-Solutions-Ex-2-2-Method-SAK.pdf|Download PDF]]
* **Exercise 2.3** | VIEW [[:BSc:Notes of Mathematical Method:Ch02 Groups:Viewer?f=ch02/Chap-02-Solutions-Ex-2-3-Method-SAK|View online]] | [[pdf>files/bsc/method/dn.php?file=ch02/Chap-02-Solutions-Ex-2-3-Method-SAK.pdf|Download PDF]]
**Notes by Shariq Mehtab Syed:**
* **Exercise 2.1** | VIEW [[:BSc:Notes of Mathematical Method:Ch02 Groups:Viewer?f=ch02/Chap-02-Solutions-Ex-2-1-Method|View online]] | [[pdf>files/bsc/method/dn.php?file=ch02/Chap-02-Solutions-Ex-2-1-Method.pdf|Download PDF]]
* **Exercise 2.2** | VIEW [[:BSc:Notes of Mathematical Method:Ch02 Groups:Viewer?f=ch02/Chap-02-Solutions-Ex-2-2-Method|View online]] | [[pdf>files/bsc/method/dn.php?file=ch02/Chap-02-Solutions-Ex-2-2-Method.pdf|Download PDF]]
* **Exercise 2.3** | VIEW [[:BSc:Notes of Mathematical Method:Ch02 Groups:Viewer?f=ch02/Chap-02-Solutions-Ex-2-3-Method|View online]] | [[pdf>files/bsc/method/dn.php?file=ch02/Chap-02-Solutions-Ex-2-3-Method.pdf|Download PDF]]
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