I am having dificulties with subgroups and how to develop generators.

I have a question

Find the numbers of generatos os a cyclic groups of orders Z6, Z8, Z12 and Z60

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- Dec 5th 2009, 04:02 PMrupecee1abstract algebra
I am having dificulties with subgroups and how to develop generators.

I have a question

Find the numbers of generatos os a cyclic groups of orders Z6, Z8, Z12 and Z60 - Dec 5th 2009, 04:07 PMlvleph
This is the wrong section.. Also, you may want to clarify your question a bit. I understand that you want for some group where is one of the following . But you never gave the group.

- Dec 5th 2009, 04:31 PMTheEmptySet
Cyclic groups of finite order are always isomorphic to the integers mod n

under addition.

Here is a link to the wiki on cyclic groups

Cyclic group - Wikipedia, the free encyclopedia

Note that cyclic groups always have generators where is the Euler Phi function

Euler's totient function - Wikipedia, the free encyclopedia