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Mathematics 13 Online
OpenStudy (anonymous):

Decide whether or not the modulo system forms a group. {0, 1}; multiplication modulo 2

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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