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Math 3124
Thursday, October 27
Second Test Review
The test will cover sections 15–22 excluding 20. RSA encryption will not be examined.
Topics will include
1. The subgroup generated by a subset.
2. Filling in Cayley tables.
3. Cosets.
4. Lagrange’s theorem.
5. Subgroups of a cyclic group.
6. Subgroup lattice.
7. Homomorphism, isomorphism.
8. Properties of isomorphic groups
G
,
H
, such as

G

=

H

,
G
is abelian if and only if
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Unformatted text preview: H is abelian; G has an element of order n if and only in H has an element of order n . 9. Normal subgroups. 10. The kernel of a homomorphism is always a normal subgroup. 11. A subgroup of index 2 is always normal. 12. Quotient groups, Cayley tables of quotient groups. Test on Tuesday, November 1. Review session at 4:50 p.m. in McBryde 126 on Sunday October 30....
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This note was uploaded on 01/02/2012 for the course MATH 3124 taught by Professor Parry during the Fall '08 term at Virginia Tech.
 Fall '08
 PARRY
 Algebra, Sets

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