Let A be the abelian group with generators a, b, c, d and relations 2a 4b + с, 4c-d-2b and a + b + c + d-0. Write A as the cartesian product of cyclic groups as in the classifaction theorem Let...

Question

Question

Let A be the abelian group with generators a, b, c, d and relations 2a 4b + с, 4c-d-2b and a + b + c + d-0. Write A as the ca

Answer 1

Answer #1

n-プ oln in 刁 nhan ( 뇩 ム«. t&m.nl.:.. 下. . Ô Κ. : 2.

Answer 2

Similar Homework Help Questions

Let A be the abelian group with generators a, b, c, d and relations 2a 4b + с, 4c-d-2b and a + b + c + d-0. Write A as...

Let A be the abelian group with generators a, b, c, d and relations 2a 4b + с, 4c-d-2b and a + b + c + d-0. Write A as the cartesian product of cyclic groups as in the classifaction theorem Let A be the abelian group with generators a, b, c, d and relations 2a 4b + с, 4c-d-2b and a + b + c + d-0. Write A as the cartesian product of cyclic groups as in the...
Consider the group U(108). (a) Write U(108) as an external direct product of cyclic groups. (b)...

Consider the group U(108). (a) Write U(108) as an external direct product of cyclic groups. (b) What is the maximal order of elements in U(108)? Give a brief re (c) Does U(108) have an element of order 8? Why?
Let G be a group of order 6 and let X be the set (a, b,c) E G3: abc That is, X is the set of trip...

Let G be a group of order 6 and let X be the set (a, b,c) E G3: abc That is, X is the set of triples of elements of G with the product of its coordinates equals the identity element of G (a) How many elements does X have? Hint: Every triple (a, b, c) in X is completely determined by the choice of a and b. Because once you choose a and b then c must be (ab)-1...

need java code. (d) is cartesian product rule. Design a program to let user enter two...

need java code. (d) is cartesian product rule. Design a program to let user enter two lists of numbers within the range [0, 9] from keyboard, you could either use flag to denote end of the list or ask user to enter the list size first and then enter the list numbers. Each of these two lists represents a set (keep in mind that duplicate elements are not allowed in a set), so we have two sets A and B....
(b) (c) and (d) please Problem(5) (a) (1 pt) Let Z~ Normal(0, 1). Recall the definition...

(b) (c) and (d) please Problem(5) (a) (1 pt) Let Z~ Normal(0, 1). Recall the definition of z-value, i.e., P(Z > zr) = r. Find the probability of P(-70/2 < 3 < 2a/2). (b) (4 points) Let X1, X2, ... , Xn be a random sample from some population with (un- known) mean u and (known) variance o?. Based on the Central Limit Theorem and part (a) above, show that the confidence intervals for the population mean y can be...