Case study on Cayley's theorem on groups | Discrete Mathematics |SNS Institutions

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In this video, we explore Cayley’s Theorem, one of the most fundamental results in Group Theory. Through a detailed and easy-to-follow case study, we show how every group is isomorphic to a subgroup of a symmetric group. Whether you're a mathematics student, preparing for exams, or simply curious about abstract algebra, this video provides a clear conceptual understanding with step-by-step examples.

What You’ll Learn ?

What is Cayley’s Theorem?
Why every group can be represented using permutations?
How to construct left regular representations?
Case study: Representing a finite group as a subgroup of a symmetric group
Examples with small groups (C₂, C₃, S₃ etc.)