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Unformatted text preview: 7. Group actions. 8. Subgroups, cosets and Lagranges 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....
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 Spring '08
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 Algebra, Integers

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