10) Finite subgroups of isometries

Question 1

What does it mean for two subgroups H and H’ of a group G to be conjugate

Answer 1

Question 2

How does averaging the orbit of a point under a finite subgroup H of E(n) affect its fixed points and conjugacy within the group

Answer 2

Question 3

What are the two types of subgroups of O(2) that represent all possible conjugacy classes of subgroups of E(2)

Answer 3

Question 4

What are key differences and relationships between D1, Rot2, and Dn within E(2)

Answer 4

Question 5

What are the possible conjugacy classes for finite subgroups of E(2)

Answer 5