(2) (20 points)
(a) Prove that if H < G has index 2 the H is normal.
(b) Using the table for at the end of the exam, find all normal subgroups of
(c) Find the commutator subgroup
(2) (20 points) (a) Prove that if H< G has index 2 the H is normal. (b) Using the table for D4 at the end of the exam, find all normal subgroups of D4 (c) Find the commutator subgroup (D4). TABLE 1. Table for V. * Po P1 P2 P3 Mi H2 2 H2 882 Po Po P1 P2 P3 Mi PIPI |p2|p3|po di 82 H2 H1 P2 P2 P3 Po P1 M2 Mi 82 81 P3 | P3 Po...
(2) (20 points) (a) Prove that if H < G has index 2 the H is normal. (b) Using the table for D4 at the end of the exam, find all normal subgroups of D4: (c) Find the commutator subgroup C (D4). TABLE 1. Table for V. * POP1 02 PI Po Po P P2 P3 HI H28 82 Pi P2 P3 po di 82 12 M P2 P2P po PI 12 M 828 P3 |P3 |POPI P2 82 6...
(b) Using the table for D, at the end of the exam, find all normal subgroups of DA. (c) Find the commutator subgroup C (D4). TABLE 1. Table for V. * Po P1 P2 P3HiM2 81 2 Po Po P1 P2 P3 MM28 82 Pi|p2|p3|po|di|d2 H2H P2 P2|p3|PO|PI|H2|4|d2 di P3 P3 Po P1 P2 82 81 Hul 12 Hid2 Hi M2 & Po P2 P3 Pi H2O 12 P2 Po Pi P3 di 82 m2 pl P3 Po P2 82.82...
(2) (20 points) (a) Prove that if H< G has index 2 the H is normal. (b) Using the table for D4 at the end of the exam, find all normal subgroups of D4 (c) Find the commutator subgroup (D4).
ASAP (2) (20 points) (a) Prove that if H < G has index 2 the H is normal. (b) Using the table for D4 at the end of the exam, find all normal subgroups of D4. (c) Find the commutator subgroup C (D4).
(7)(20 points) (a) State the Fundamental Theorem of Finitely Generated Abelian Groups. (b) List all abelian groups of order 2450 up to isomorphism. (c) Show every abelian group of order 2450 has an element of order 70. TABLE 1. Table for V. * Po P1 P2 P3 Hi M28 d2 PoPoPIP2 P3MM 81 82 pi pi P2 P3 Podi 82 42 M P2|p2|p3|po|PI|HH|d2 di P3 P3 PoP1 P282 di Hi 112 M hd2 M2 di Po P2|p3|pl H2H2 di M82...
Need help with 2 and 3 ASAP. Homework is due soon. (2) (20 points) (a) Prove that if H <G has index 2 the H is normal. (b) Using the table for D4 at the end of the exam, find all normal subgroups of D4. (c) Find the commutator subgrðup C (DA). (3) (20 points) The following questions pertain to permutations in Sg. (1 2 3 4 5 6 7 (a) Decompose the permutation o= 9) into a product of...
Air flows from a reservoir where P 300 kPa and T 500 K through a throat to section 1 in Fig. 3.4, where there is a normal shock wave. Compute (a) Pi (b) P2 (c) Po2 (d) A 2 (e) Po3 (f)A* (g) P3 (h) To3 Air Reservoir Po 300 kPa 12 13 T01-500 K | Shock P100 psia Air flows from a reservoir where P 300 kPa and T 500 K through a throat to section 1 in Fig....
fOne question but divided into sub connected questions * Question Completion Status: QUESTION 1 20 points Save Ans The heat-pump system shown is designed to provide water-heating and space-cooling. The system includes a heat exchanger to subcool the R134a refrigerant at the outlet of the water heater while heating the refrigerant at the outlet of the evaporator. Given the following data, determine the enthalpy at each station, 1 through 6, using the R134a property tables (click here). Type your answers...
photos for each question are all in a row (1 point) In the following questions, use the normal distribution to find a confidence interval for a difference in proportions pu - P2 given the relevant sample results. Give the best point estimate for p. - P2, the margin of error, and the confidence interval. Assume the results come from random samples. Give your answers to 4 decimal places. 300. Use 1. A 80% interval for pı - P2 given that...