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

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Asked On2017-07-03 05:47:38 by:Aparna-Dasgupta

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The size of L is 5

Order 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. 



Answerd on:2017-07-04 Answerd By:tarun101

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