Q. Lagrange’s theorem specifies __________

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Q. A function is defined by f(x)=2x and f(x + y) = f(x) + f(y) is called _____________

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Q. An isomorphism of a group onto itself is called ____________

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Q. The elements of a vector space form a/an ____________ under vector addition.

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Q. A set of representatives of all the cosets is called _________

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Q. How many different non-isomorphic Abelian groups of order 8 are there?

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Q. Consider the set B* of all strings over the alphabet set B = {0, 1} with the concatenation operator for strings ________

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Q. An infinite cyclic group does not have a ______ series.

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Q. Every cyclic group is a/an ______

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Q. What is an irreducible module?

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Q. A finite group G of order 219 is __________

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Q. The number of generators of cyclic group of order 219 is __________

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Q. The order of a simple abelian group is __________

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Q. The Number of Elements Satisfying g7=e in a finite Group F is ______

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Q. All the rings of order p2 is ____________

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Q. An element of a commutative ring R(1≠0) is nilpotent if __________

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Q. A group G of order 20 is __________

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Q. Consider an integer 23 such that 23 >= 3p for a 2p-cycle in a permutation group, then p is ___________

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Q. Suppose Kₘ={P∈Sₘ|, |P| is odd prime}. Determine the set for which m≥3 Kₘ a subgroup of Sₘ.

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Q. The dihedral group having order 6 can have degree _____________

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