Generators of z25
WebOct 21, 2016 · All of those are different and, since they are all less than 25, they include all numbers from 1 to 25. On the other hand if we did the same with, say 5, we would get 5^0= 1, 5^1= 5, 5^2= 25= 0, 5^3= 125= 0, etc. The only numbers we get are "0", "1" and "5" precisely because "5" is a divisor of "25". The numbers that generate all of Z25 are ... http://mathserver.neu.edu/~todorov/F11MTH3175GroupThQ4PractSol.pdf
Generators of z25
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WebFind the generators and the corresp onding elemen ts of all the cyclic subgroups of Z 25. Solution: < 5 > = f 0; 10 15 20 g < 0 > = f g Ev ery other elemen t is relativ ely prime to 25 and generates all of Z 25. c) Find the generators and the corresp onding elemen ts of all the cyclic subgroups of Z 19. Solution: Ev ery elemen t (other than 0 ...
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