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OpenStudy (anonymous):
Decide whether or not the modulo system forms a group. {0, 1}; multiplication modulo 2
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OpenStudy (kinggeorge):
Before I start, what do you think, and why?
OpenStudy (sirm3d):
there are three parts to test, (i) associativity, (ii) existence of an identity, and (iii) every element has an inverse relative to the given operation
OpenStudy (sirm3d):
now, if you think the modulo system is not a group, which of the three parts (i) associativity, (ii) identity, or (iii) inverse will fail?
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