- #1
Avatrin
- 245
- 6
I am having problem working with the objects in the title. Working with permutations, rotations and reflections is fine, but I have problem with the following:
Showing a subgroup is or is not normal (usually worse in the case of symmetric groups)
Finding a subgroup of order n.
Showing that there is no subgroup of order n.
I cannot remember encountering many exercises that helped me learn to work with subgroups of symmetric and dihedral groups. Are there any strategies I can follow, and, even better, any sets of exercises anybody here recommends?
Showing a subgroup is or is not normal (usually worse in the case of symmetric groups)
Finding a subgroup of order n.
Showing that there is no subgroup of order n.
I cannot remember encountering many exercises that helped me learn to work with subgroups of symmetric and dihedral groups. Are there any strategies I can follow, and, even better, any sets of exercises anybody here recommends?