Dristi Vashishtha posted an Question
January 03, 2022 • 20:13 pm 30 points
  • IIT JAM
  • Mathematics (MA)

38. ifp is a prime number and gis a non-abelian group of order p. if z(g) be the centre of g then choose the correct? g (a) z(g z, xz, (b) ghas normal subgroup

38. Ifp is a prime number and Gis a non-abelian group of order p. if Z(G) be the centre of G then choose the correct? G (a) z(G Z, xZ, (b) Ghas normal subgroup of order p (b) G (c) Every proper subgroup of z(G) is cyclic (c) (d) G is cyclic z(G) in this the correct options are a b and c i know the reasons for a and b but not for c pls help.

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