Subgroups of Dihedral Group with simple concepts | L-3 | IIT JAM Mathematics | IFAS

In this video we will discuss about the Subgroups of Dihedral Group with all the concepts and tricks required to solve questions in seconds.
In mathematics, The Dihedral Group, Dn, has several subgroups. These include:
Trivial Subgroup: It consists of the identity element alone.
Cyclic Subgroups: These subgroups are generated by a single rotation element. Each rotation generates a cyclic subgroup of order n.
Reflection Subgroups: These subgroups are generated by a single reflection element. Each reflection generates a subgroup of order 2.
Dihedral Subgroup: It is the entire Dihedral Group, Dn, itself.
These subgroups exhibit different properties and structures within the Dihedral Group, contributing to its overall symmetry and composition.
Generators: The group Dn can be generated by two elements - a rotation and a reflection.
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