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The_Iceflash
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Prove that ord(a) = ord(bab^(-1)) (Edited/Fixed)
Prove that ord(a) = ord(bab-1)
N/A
Part 1: Show that ord(bab-1) = n
Suppose that ord(a) = n
Then an = e.
I then have to use the associative law to show (bab-1)n = e but that's where I'm having troublem.
Part 2: Show that ord(a) = n
Suppose ord(bab-1) = e
Then (bab-1)n = e
I then have to use the associative law to show that an = e but I'm stuck there as well.
Help is greatly appreciated.
Homework Statement
Prove that ord(a) = ord(bab-1)
Homework Equations
N/A
The Attempt at a Solution
Part 1: Show that ord(bab-1) = n
Suppose that ord(a) = n
Then an = e.
I then have to use the associative law to show (bab-1)n = e but that's where I'm having troublem.
Part 2: Show that ord(a) = n
Suppose ord(bab-1) = e
Then (bab-1)n = e
I then have to use the associative law to show that an = e but I'm stuck there as well.
Help is greatly appreciated.
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