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Deepak Patra posted an Question
November 11, 2021 • 16:22 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Let gbe the group with the generators a and b given by g = (a, b:a' =b = , ba = ab). ifz)denotes the centre of g, then giz(g)s isomorphic to (a) the trivial gro

Let Gbe the group with the generators a and b given by G = (a, b:a' =b = , ba = ab). IfZ)denotes the centre of G, then GIZ(G)s isomorphic to (a) the trivial group 12. IGATE-2006] (b)C, the cyclic group oforder 2 (d) C, (c) C, xC

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  • Anonymous User best-answer

    C check attachment

    cropped3577338516812464478.jpg
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    why not C4?? ok order of C4 is also 4 na????

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    in in C4 elements of order 4 but in G/Z has no elements of order 4

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    understand

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