Welcome to our YouTube tutorial on "Subgroups in Group Theory"! In this educational journey, we'll unravel the concept of subgroups—a fundamental aspect of abstract algebra and group theory. In this tutorial, you'll learn: The formal definition of a subgroup and how it relates to the parent group. The criteria that a subset must meet to qualify as a subgroup. Different types of subgroups and their applications. The concept of cyclic subgroups and their role in group theory. Real-world examples illustrating the importance of subgroups. subgroup in group theory | subgroup,subgroup in discrete mathematics | subgroup theorem |subgroup examples,lagrange's theorem | Subgroup | subgroup properties | subgroup of a group | GATE Mathematics | discrete mathematics | group theory | group theory discrete mathematics | subgroups abstract algebra Contact Details (You can follow me at) Instagram: https://www.instagram.com/ahmadshoebkhan/ LinkedIn: https://www.linkedin.com/in/ahmad-shoeb-957b6364/ Facebook: https://www.facebook.com/ahmadshoebkhan Watch Complete Playlists: Data Structures: https://www.youtube.com/watch?v=jEMmThJ-1ss Theory of Computation: https://www.youtube.com/watch?v=p1oqDS0fayc Compiler Design: https://www.youtube.com/watch?v=XMt-KL-xn7k Design and Analysis of Algorithms:    • Design and Analysis of Algorithms   Graph Theory: https://www.youtube.com/watch?v=KB00Ogt36nM