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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: order of an element
Replies: 7   Last Post: Feb 24, 2008 6:07 PM

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quasi

Posts: 9,080
Registered: 7/15/05
Re: order of an element
Posted: Feb 24, 2008 5:48 PM
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On Sun, 24 Feb 2008 16:56:16 -0500, quasi <quasi@null.set> wrote:

>On Sun, 24 Feb 2008 16:37:24 EST, Nichole <xnicole13x@aol.com> wrote:
>
>>hey guys thanks a lot for your help, after combining what you both said, I understand how the order of a^4 is 60. I have been doing some work on a few others and have come up with an order for a^60 as being 4. a^14 being 120. And a^57 having an order of 240..Do these seem correct to you guys?
>
>Yes.

Oops -- yes for all but one.

>In general, if a has order n, then a^k has order n/(gcd(n,k).

quasi

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