Decompose the product set u x v into orbits

Reference no: EM13178758

1. Let l_1 and l_2 be lines through the origin in R^2 that intersect in an angle pi/n, and let r_i be the reflection about l_i. Prove that r_1 and r_2 generate a dihedral group Dn.

2. The symmetric group S_3 operates on two sets U and V of order 3. Decompose the product set U x V into orbits for the "diagonal action" g(u, v) = (gu, gv), when

A) the operations on U and V are transitive

B) the operation on U is transitive, the orbits for the operation on V are {v_1} and {v_2, v_3}

3. Let G be the group of symmetries of a cube, including the orientation-reversing symmetries. Describe the elements of G geometrically.

Reference no: EM13178758

Questions Cloud

Explain reason for announcing the price of a product : Texas instrument once announced a price for random-access memories that wouldn't be available until two tears after the announcement few days later; Bowmar announced that it would produce this product and sell it at a lower price than Texas instru..

What minimum constant deceleration is required to stop : a car traveling at 86 km/h when the driver sees an accident 65 m ahead and slams the brakes.. what minimum constant deceleration is required to stop the car in time to avoid a pileup.

Why is it an important concept that atoms generally appear : Why is it an important concept that atoms generally appear in whole number molar ratios to each other in chemical compounds?

Difference between real property-tangible personal property : For the Midterm paper you need to engage in independent research using your text, the LexisNexis library, and internet resources to answer

Decompose the product set u x v into orbits : Let G be the group of symmetries of a cube, including the orientation-reversing symmetries. Describe the elements of G geometrically.

What is the slack time in each department : How many hours of production time will be scheduled in each department?

What is the eight-firm concentration ratio : What is the four-firm concentration ratio for this industry? ___74%_ b) What is the eight-firm concentration ratio for this industry? _____98% Suppose that the distribution of sales within an industry is as shown in the table.

Stay lower based on the new technology : why is it so certain that price elasticity will cause those prices to return to levels they were at instead of staying lower based on the new technology?

State one electrode compartment consists of a silver strip : A voltaic cell SIMILAR to that shown in Figure 20.5 is constructed. One electrode compartment consists of a silver strip placed in a solution of AgNO3,

User Account

All Pages