For a group G and a fixed element a ∈ G, define the subset C(a) to be the set of all elements in G that commute with a.  C(a) = {g ∈ G : ag = ga} Let G = SL(2, R). Find C  [1 1]                                          [0 1]

Q: on G by a * b = ba. Prove that G is isomorphic

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A: Proof given below. Explanation:

Q: Chapter 2, exercise 11.1: Let x be an element of order r of a group G and let y be an element of a…

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A: x and y are two vertices of a Cayley digraph. ai’s and bj’s are generators of the Cayley digraph

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Q: 5 Let G be the set of all functions f: R → R of the form f(x) = ax + b where a and b are real…

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Q: Exercise 3.1. Let G be a group. Given g € G, define ig : G → G by ig(x)=gxg, Vx Є G. (1) Show that…

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Q: Let G be a group and let a e G. The set CG(a) = {x € G | xa = that commute with a is called the…

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