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Deepak Patra posted an Question
December 10, 2021 • 01:31 am 30 points
  • IIT JAM
  • Mathematics (MA)

45. fora groupg, let f(g) denote the collection of all subgroups ofg. which one of the following situations can occur? (a) gis finite but f(g) is infinite (c) g

45. Fora groupG, let F(G) denote the collection of all subgroups ofG. Which one of the following situations can occur? (a) Gis finite but F(G) is infinite (c) Gis countable but F(G)is uncountable(d) Gis uncountable but F(G) is countable ITIFR-2015] (b) Gis infinite but F(G) is finite

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  • Anonymous User

    B (R0,x) be an infinite group but it's number subgroup finite {1},{1,-1},R0

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