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Let us say we have a group [tex]\langle Z_n \backslash \lbrace 0 \rbrace, \cdot \rangle[\tex] and one element multiplied with another gives kn. n divides kn, so kn equals 0. But we don't have 0 in the set of the group.

If the tex stuff didn't show up, the group should be

<Z_n\{0},+>

Is this then not a group?

Nille

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# Finite Group

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