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If H and K are subgroup of G, with K a normal subgroup of G, K intersect H=1 and KH=G, then G is called a semidirect product (or split extention) of K by H.
If sigma=(12) in S_n, n>=2, show that s_n is a semidirect product of A_n by <sigma>
Show that the dihedral group D_n=<a,b|a^n=b^2=1,b^-1ab=a^-1> is a semidirect product of A=<a> by B=<b>
Show that the quaternion group Q_2 cannot be expressed as a semidirect product of two non-trivial subgroups.
If the snowfall from 36 randomly selected years are chosen, determine the probability that the snowfall would be less than 95 inches?
Solve the system of linear equations. If the unique solution does not exist state weather the system is inconsistent or dependent.
Differentiating a function using the product rule and finding the tangent line equation at particular point.
Excel Solver-maximize annual passenger-carrying capability, An airline owns an aging fleet of jet airplanes. It is considering a major purchase of up to 17 new model 7a7 and 7b7 jets. The decision must take into account numerous cost and capabilit..
Compute the probability of all the three stocks rise - Compute the probability that All three stocks rise
Find elementary matrices E,F,G and a matrix R in row-echelon form such that the following matrix A is equal to EFGR.
Solve the given equation on the interval 0 ≤ θ ≤ 2π.
Real time application of perimeter of a circle. To evaluate the distance travelled using the number of rotations.
Determine the probability for independent events - calculate the probability P(AUBUC)
The answer to Probability theory It is found that when a particular 4-sided die is rolled a 1 occurs 22.8% of the time, a 2 occurs 25.3% of the time, a 3 occurs 20.8% of the time, and a 4 occurs 31.1% of the time.
Probability that exactly one of the sample individuals carries the gene.
Evaluate the equation of the Straight line - Sketch the curve.Circle: tangent to the line x=3, centre at (5,1)
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