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I wasn't entirely sure about this problem, but I think the general idea is that the multiplicative set of F of nonzero elements forms a group under multiplication. Since it has n-1 elements then, by property of groups, x^(n-1) =1 for all nonzero x in F.<br> | I wasn't entirely sure about this problem, but I think the general idea is that the multiplicative set of F of nonzero elements forms a group under multiplication. Since it has n-1 elements then, by property of groups, x^(n-1) =1 for all nonzero x in F.<br> | ||
--[[User:Jniederh|Jniederh]] 20:08, 25 March 2009 (UTC) | --[[User:Jniederh|Jniederh]] 20:08, 25 March 2009 (UTC) | ||
Latest revision as of 15:15, 25 March 2009
I wasn't entirely sure about this problem, but I think the general idea is that the multiplicative set of F of nonzero elements forms a group under multiplication. Since it has n-1 elements then, by property of groups, x^(n-1) =1 for all nonzero x in F.
--Jniederh 20:08, 25 March 2009 (UTC)
