Cyclic groups
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(a) Let F = { (matrix with first row; a 0, second row is 0 a) : a is an element of R
Show that F is a field and that F ~= R
(b) Give the definition of a cyclic group
Prove that every subgroup H of a cyclic group G =<a> is itself cyclic
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Solution Summary
This is a proof regarding fields. The cyclic groups for modern algebra are examined.
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