(1).* 4 and |6| = 2, Let G be a group. Let a, b EG such that |a| and a b = ba. Then determine |ba|, i.e., the order of the group element ba e G (2). It is known that 7 € U(20). Determine 7-1, |7| and |7-1|

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Q: 6. Complete the multiplication table for the group G = {a, b, c, d} a d a b d

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Q: 6.2 Which of the following groups are cyclic? a) Z12×Z, b) Z10×Z85 c) Z4xZ25x Z, d) ZnxZ2 x Z65 -21

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Q: 9. In a group, prove that (a"')"' - a

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Q: Let G be a group of order 3 and identity e. If the other elements are a and b, use the Latin square…

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Q: 6.2 Which of the following groups are cyclic? a) Z12×Z, b) Z10x Zgs c) Z4xZ2sx Z, d) Z22XZ21 xZ6s

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Q: 1. Prove or disprove that each of the cises 52 of Section 3.1 is cyclic. a. Z2 × Z3

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Q: 52. Let G be a group. Complete the following statement: |Inn(G)| = 1 if and only if

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