Let F be a field, and consider the group 1 a b ((:)ker) 01 C 0 0 1 Find the centre Z(G) of the group G. (You do not need to prove that G G := : a,b,c er : a, b, c E F ≤ GL3 (F). <

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Q: Let F be a field, and consider the group G := 1 a b {6 {(₁; ;) = 01 с : a, b, c E F ≤ GL3 (F). : a,…

A: Center of group is set of all elements which commute with all elements of G

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Q: How would you solve such a question: Suppose f : Z → Z5 is a group homomorphism, and suppose f (3) =…

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Q: Let U(n) be the group of units in Zn. If n > 2, prove that there is an element k EU (n) such that k2…

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