by and is this a group. Identity is 0. Associative is true. Inverse (I am not sure but I don't think this works). If we let be the inverse, we have a problem since So is this not a group or is this approach to the inverse wrong?
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Originally Posted by dwsmith by and is this a group. Identity is 0. Associative is true. Inverse (I am not sure but I don't think this works). If we let be the inverse, we have a problem since So is this not a group or is this approach to the inverse wrong? Are you asking whether the set is a subgroup of ? Obviously not since .
Originally Posted by Drexel28 Are you asking whether the set is a subgroup of ? Obviously not since . I am trying to prove if it is a group or not.
Originally Posted by dwsmith I am trying to prove if it is a group or not. And, it's not since it isn't closed under addition.