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Talk:Trivial group

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Isn't this also the smallest feild?

No, a field (mathematics) must have a distinct 0 and 1, so Z2 is the smallest field.--agr 21:54, 7 September 2006 (UTC)
For F to be a field, F − {0} should be a group under multiplication; since the empty set is never a group, this is not true for \mathbb{Z}_1. --Ian Maxwell 19:57, 21 April 2007 (UTC)
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