adplus-dvertising
frame-decoration

Question

Which of the following is not an abelian group?

a.

semigroup

b.

dihedral group

c.

trihedral group

d.

polynomial group

Posted under Discrete Mathematics

Answer: (b).dihedral group

Engage with the Community - Add Your Comment

Confused About the Answer? Ask for Details Here.

Know the Explanation? Add it Here.

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

Similar Questions

Discover Related MCQs

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

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.

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

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

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

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

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

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

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

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

Q. A group G of order 20 is __________

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

Q. All the rings of order p2 is ____________

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

Q. The order of a simple abelian group is __________

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

Q. A finite group G of order 219 is __________

Q. What is an irreducible module?

Q. Every cyclic group is a/an ______

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