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Mar
13
accepted Are there rigorous mathematical definitions for these waves?
Mar
13
asked Constructing a 3-regular graph with no 3-cycles
Feb
18
accepted Fermat Numbers as a product
Feb
18
accepted Is the Euler phi function bounded below?
Feb
18
accepted Proving properties of a given function
Feb
18
accepted Explaining how $n = 2^r$ for $n$ prime
Feb
18
asked Are there rigorous mathematical definitions for these waves?
Feb
13
accepted Powers of a greatest common denominator
Feb
13
asked Is the Euler phi function bounded below?
Feb
6
comment Finding the order of elements in a group?
Alright, so I picked up where you left off, and I found the following. $[4]^2 = [16]$, so $n = 2$ does not work. However, $[4]^{11} = [1]$, so $n = 11$ and since $11$ is least, then the order of $[4]$ is 11. Am I correct?
Feb
6
accepted Finding the order of elements in a group?
Feb
6
comment Finding the order of elements in a group?
Thank you so much for the clarification! I think I understand this problem now.
Feb
6
comment Finding the order of elements in a group?
Yes, that is the exact question. Sorry for any confusion, I thought I might have had to clarify some of my notation.
Feb
6
awarded  Editor
Feb
6
comment Finding the order of elements in a group?
The first part of my question IS the question I am asking. I simply do not know how to begin, and I am trying to seek help as well as provide background info on what we have learned prior to this.
Feb
6
revised Finding the order of elements in a group?
added 260 characters in body
Feb
6
comment Finding the order of elements in a group?
$Ker(f) = \{(x_1, x_2) | f(x_1) = f(x_2)\}$.
Feb
6
comment Finding the order of elements in a group?
Sorry, I was trying to define as much as I can while still keeping things terse. "For any sets $X, Y$ and any function $f: X \to Y$, there exists an equivalence relation defined on $X$, $Ker(f)$. Also, $X / Ker(f) = \{[x] | x \in X\}$ where for $x \in X$, $[x] = \{y \in X | f(y) = f(x)\}$".
Feb
6
asked Finding the order of elements in a group?
Jan
30
asked Fermat Numbers as a product