Cyclic Groups - Modern Algebra

(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

© SolutionLibrary Inc. 9836dcf9d7