Mathematical Method Notes: Chapter 02 – Groups
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A set and a binary operation come together to form a group. As an illustration, the collection of integers with an addition operation forms a group, as does the set of real numbers with a binary addition process.
Course Contents
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Definition (axioms of the group)
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Definition ( commutative group )
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Definition (idempotent)
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Properties of Group
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Theorem (The Cancellation Law)
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Theorem (Solution of Linear Equations )
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Subgroups
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Definition ( subgroup )
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Cyclic Groups
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Definition ( cyclic group )
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Cosets-Lagrange’s Theorem
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Permutations
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Cycles
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Transpositions
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Order of a Permutation
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Rings and Fields
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Properties of Rings
Mathematical Method Notes By S.M Yusuf
- Exercise 2.1 Notes | Download PDF
- Exercise 2.2 Notes | Download PDF
- Exercise 2.3 Notes | Download PDF
- Exercise 2.4 Notes | Download PDF
Mathematical Method Notes By Prof Naeem-Ul-Haq
- Exercise 2.1 Notes | Download PDF
- Exercise 2.2 Notes | Download PDF
- Exercise 2.3 Notes | Download PDF
- Exercise 2.4 Notes | Download PDF