Groups Mock Tests
7 questions available
Groups Mock Test 1
Questions:
7
नमूना प्रश्न
Let G be the group of all nonzero real numbers under multiplication. Which of the following is a normal subgroup of G?
The number of groups of order p² (where p is a prime) up to isomorphism is
Let G be the symmetric group S₄. The number of elements of order 2 in G is
The number of elements in the symmetric group S₅ is
Let G be the group of all permutations of a set with n elements, denoted Sₙ. For n ≥ 3, the center of Sₙ is
The order of the element 3 in the multiplicative group ℤ₇* is
The group Z₆ × Z₁₀ (direct product of cyclic groups) is isomorphic to
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