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I'm not sure if it's right, though. -Kristie | I'm not sure if it's right, though. -Kristie | ||
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| + | __ | ||
| + | I think the order of all the elements of U(p^n) is n | ||
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| + | -Matt | ||
Revision as of 16:10, 24 September 2008
The latter part of the question asks to find |U(750)|, and suggests using HW3 from Ch3. I'm reasonably sure this is supposed to suggest HW38 from Ch3, which can be found here.
Does anyone know how to do the first part describing U(p^n)? Is p prime or what is the question asking? -Neely
It states at the beginning of the problem that p is a prime.
__ I worked with my guess from the previous homework and applied it to the U(p^n). I tested it with the first two primes (2 and 3). This is what I have: |U(p^n)| = |U(1)|*|U(p^n)| if p is even, n>=0 |U(p^n)| = |U(p)|*|U(p^n-1)| if p is odd, n>=0
I'm not sure if it's right, though. -Kristie
__ I think the order of all the elements of U(p^n) is n
-Matt
