CH 6 - Simple Groups Flashcards
(1 cards)
1
Q
Define a simple group.
When is an abelian group simple?
State a theorem on the simplicity of the alternating group and outline the steps of the proof.
A
- CH 1 - Definition and Examples of Groups
- CH 2 - Subgroups
- CH 3 - Normal Subgroups, Quotients and Homomorphisms
- CH 4 - Cyclic Groups
- CH 5 - Direct Products and Finite Abelian Groups
- CH 6 - Simple Groups
- CH 7 - Group Actions and Permutation Groups
- CH 8 - The Centre, Commutators and Normalisers
- CH 9 - Sylow's Theorem
- CH 10 - Classification of Small Groups
