2. (a) Let p > 2 be prime. Describe all groups of order p. (b) Give...
(1) Let p be a prime number. Describe all the groups with p elements. (2) Let # be a permutation in S(4). What are the possible orders of T according to Lagrange's theorem? (3) Show that there are no elements of order 8 in S(4) (even though 8 divides 24 = 4!).
Utilizing theorem 2.2, please answer
proposition 2.1.
2.1 Structure of Finite Abelian Groups Theorem 2.2 (Structure Theorem for Finite Abelian Groups). 1. Let n = pap2...pl with the pi distinct primes and the li non-zero. Let G be an abelian group of order n. We have G is isomorphic to a product Gpi x Gpr ... Ger where for each i, Gp; is a abelian group of order po 2. Let H be a finite abelian p-group of order pm...
Give 2 examples of saturated fatty acids and answer each of the following aspects: 1. Describe chemical characteristics and graph the structure of the two 2. What is the function in the organism of the two examples 3. Classify and explain if it is Saponifiable or non-saponifiable from the two examples
PROTEINS Classify proteins according to their function, give examples - Aminoacids: Functional groups common to all aminoacids What is the isoelectric point Classification of aminoacids Explain the primary, secondary, tertiary, and cuaternary structure of proteins. Give examples of each Describe the peptide bond Identify the interaction/forces associated to the stabilization of 2°, 3°, and 4° structures. What is an enzyme and what do they do? Classes of enzymes - Explain enzyme-catalyzed reaction - Models of enzyme action - Which factors...
please look at red line
please explain why P is normal
thanks
Proposition 6.4. There are (up to isomorphism) exactly three di groups of order 12: the dihedral group De, the alternating group A, and a generated by elements a,b such that lal 6, b a', and ba a-b. stinct nonabelian SKETCH OF PROOF. Verify that there is a group T of order 12 as stated (Exercise 5) and that no two of Di,A,T are isomorphic (Exercise 6). If G...
a. STATE HYPOTHESIS and show all 7 steps clearly
b. GIVE AND INTERPRET P-VALUE
c. ATTACH MINITAB output, if you don't intend to attach minitab,
please don't answer the question!!
2. In a three-digit lottery, each of the three digits is supposed to have the same probability of occurrence (counting initial blanks as zeros, e.g., 32 is treated as 032). The table shows the frequency of occurrence of each digit for 90 consecutive daily three-digit drawings. At a- 05, can...
(Abstract Algebra) Please answer a-d clearly. Show your work and
explain your answer.
(a) Let G be a group of order 4 with identity e. Show that G is either cyclic or a2-e for all (b) Does the result of part (a) generalize to groups of order p2 for any positive integer p? In other words, is it the case that if G is a group of order p2 with identity e, then is either cyclic or a- e for...
I have to use the following theorems to determine whether or not
it is possible for the given orders to be simple.
Theorem 1: |G|=1 or prime, then it is simple.
Theorem 2: If |G| = (2 times an odd integer), the G is not
simple.
Theorem 3: n is an element of positive integers, n is not prime,
p is prime, and p|n.
If 1 is the only divisor of n that is congruent to 1 (mod p)
then...
#3 please!!
2. Given the function f(x, y)-x2 +y -2xy -6x - 2y 5, find the following: (a) Find the critical point(s) of the function. For full credit, show all the algebra to find these and give your answer as ordered pairs. (b) Find the second order partial derivatives and use these to find the determinant of each critical point. Then classify each critical point as a saddle point, relative minimum, or relative maximum point. 3. A wine dealer sells...
(more questions will be posted today in about 6 hrs
from now.)
December 8, 2018 WORK ALL PROBLEMS. SHOW WORK & INDICATE REASONING \ 1.) Let σ-(13524)(2376)(4162)(3745). Express σ as a product of disjoint cycles Express σ as a product of 2 cycles. Determine the inverse of σ. Determine the order of ơ. Determine the orbits of ơ 2) Let ф : G H be a homomorphism from group G to group H. Show that G is. one-to-one if and...