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## Let G be a group with 15 elements. Let L be a subgroup of G. It is known that L (not equal to) G and that the size of L is at least 4. The size of L is _______. - Gate Computer Science 2014

Appeared in Gate Computer Science 2014 Question paperAsked On2017-07-03 05:47:38 by:Aparna-Dasgupta

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Answers5Order of subgroup divides order of group (Lagrange’s theorem). 3, 5 and 15 can be the order of subgroup. As subgroup has at least 4 elements and it is not equal to the given group, order of subgroup can’t be 3 and 15. Hence it is 5.

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