GATE Computer Science (CS) 2020 Solved Papers

Question : 25 of 65

Marks: +1, -0

Let G be a group of 35 elements. Then the largest possible size of a subgroup of G other G itself is ______.

Solution:

According to Lagrange’s theorem, state that for any finite group G, the order (number of element) of every subgroup

t_1

of G divides the order of G. therefore, possible subgroup of group of 35 elements.
{1, 5, 7, 35}

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