Unformatted text preview: 7. Group actions. 8. Subgroups, cosets and Lagrange’s theorem. 9. Centralizers, center and normalizers. 10. Homomorphisms and normal subgroups. All subgroups of an abelian group are normal. 11. If Z is a central subgroup of G (so Z ≤ Z ( G ) ) and G / Z is cyclic, then G is abelian. 12. A group of prime order p is isomorphic to Z / p Z . Test on Monday, February 21. One problem will be identical to one of the ungraded homework problems. Review session on Sunday, February 20 at 4:45 p.m. in McBryde 210....
View
Full Document
 Spring '08
 Staff
 Algebra, Integers, positive integer, Abelian group, Subgroup, Cyclic group, ungraded homework problems

Click to edit the document details