Video Lectures By Prof. S. Kumaresan
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Found total 122 results. Displaying results from 116 to 120.
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116
Group Actions Lecture 9
Sylow’s theorems
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117
Group Actions Lecture 10
Burnside lemma
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118
Minimal Counterexample Technique (in Group Theory)
Minimal counterexample, Cauchy’s theorem for finite groups, Sylow’s theorem
 of Mathematical induction and well-ordering principle are equivalent properties of the set of natural numbers. So, in principle (pun intended), any result proved by induction can also be proved used well-ordering principle. The minimal counterexample technique takes the latter approach. It was extensively used, so I understand, by Feit-Thompson in their work on Finite Group Theory. We introduce the minimal counterexample technique to prove some of the standard results in finite group theory./sddefault.jpg)
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119
Partial Orders and Zorn’s Lemma -1
Partial Order, Total order, Upper bounds
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120
Partial Orders and Zorn’s Lemma -2
Maximum. Maximal element, maximal ideal
 any finite totally ordered set has a maximum, (ii) a finite partial ordered set has a maximal element. (ii) naturally leads to the formulation of Zorn)
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