Tuesday, December 1, 2009

Find the number of generators of a cyclic group having order 5.?

I think that the generators are 1,2,3,4 but I'm not sure.



Find the number of generators of a cyclic group having order 5.?famous myspace





If a is one generator, then all the generators are



a^1, a^2, a^3, a^4 which reveals the meaning of the four numbers 1, 2, 3, 4 you listed. They are exponents. powers of one generator that give generators.



If your group is an additive group, rather than multiplicative, the list would be



1a, 2a, 3a, 4a.



Find the number of generators of a cyclic group having order 5.?wwe myspace myspace.com



Since 5 is prime, then apart from the identity element, each other element must be able to generate the entire group, so there are 4 generators.

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