Q. Invariant permutations of two functions can form __________

View solution

Q. How many indistinguishable necklaces can be made from beads of 4 colors with exactly 9 beads of each color where each necklace is of length 16?

View solution

Q. Let H be a finite group. The order of Sylow p-subgroup of H for every prime factor p with multiplicity 9 is?

View solution

Q. If the 4 sides of a square are to be colored by colors. How many different colourings with 50 colours are there if two arrangements that can be obtained from each other by rotation are identical?

View solution

Q. Suppose that H be an X-set and suppose that a∼b and |Xₐ|=|Xᵦ|, the which of the following is true?

View solution

Q. _______ characterizes the properties of distributive lattices.

View solution

Q. If we take a collection of {∅, {2}, {3}, {5}} ordered by inclusion. Which of the following is true?

View solution

Q. Which of the following is not an abelian group?

View solution

Q. Suppose (2, 5, 8, 4) and (3, 6) are the two permutation groups that form cycles. What type of permutation is this?

View solution

Q. Let M be an 4×4 matrix with real entries such that Mᵏ=0, for some k≥1. Find the determinant value of (I+M), where, I be the 4 x 4 identity matrix.

View solution

Q. If 54th row of a 67th row matrix is linearly independent with each other then find the rank of the matrix.

View solution

Q. If Y⁹⁸ (a raised to the power of 5) = 0 and Y is a 97-square matrix. Determine the value of Y⁹⁷.

View solution

Q. Suppose, M is a lower triangular matrix with all diagonal entries zero. The resultant matrix of M+I will be ___________

View solution

Q. Let X be a n-square matrix such that Y = X + 8I. Which of the following property will exist?

View solution

Q. Let (z, *) is a group with x*y=x+y-2 then inverse of x is ___________

View solution

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

View solution

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

View solution

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

View solution

Q. A group G of order 20 is __________

View solution

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

View solution