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rev2 - H is abelian G has an element of order n if and only...

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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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