This preview shows page 1. Sign up to view the full content.
Unformatted text preview: H , namely a n H . (So we can modify set arithmetic on cosets using containment. This wrinkle comes up again in 150b when defining quotient rings.) GK2. As I will have said in class, if G is a group and H is a subgroup, then G and H are equiconjugate if they have this property: If a , b ∈ H are conjugate in G , then they are also conjugate in H . (Actually I made up this word; I do not know the official terminology.) Is the tetrahedral group T equiconjugate with the rotation group SO ( 3 ) ? Is the octahedral group O equiconjugate with SO ( 3 ) ? (The groups T and O are defined in section 5.9.) *GK3. How many isometries does an n-dimensional cube possess? (As a subgroup of O ( n ) , say.)...
View Full Document
This homework help was uploaded on 02/01/2008 for the course MATH 150A taught by Professor Kuperberg during the Spring '03 term at UC Davis.
- Spring '03