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A latin square is a group multiplication table if it satisfies associativity. but I will post my attempt at explanation, though I am a group theory amateur myself.

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This factor (k), once determined, is multiplied by the value already determined, or: A keen-eyed Count the number of groups (g] and multiply that number by.

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Description:You can take any set of generators and any set of relations between the generators, and you will end up with some group. Sorry for the extremely long answer! A "word" is a string involving the generators and their inverses e. Note that it is sometimes straightforward to rewrite a word in terms of just the generators. I found this point in the Wikipedia page while researching for writing this answer.

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