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I thought it was an easy question ...
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i wonder what the inverse of the letters in the english alphabet are. since it has a non-prime number of letters (26 to be exact), we know that some letters won’t have inverses. i wonder which letters don’t have inverses. i guess it would be pretty easy to find out if you use the standard alphabet ordering and then port the alphabet over to ℤ/26ℤ, but that’s not a particularly satisfying answer.