Let H be a normal subgroup of G and let a belong to G. if the element

Fantastic news! We've Found the answer you've been seeking!

Question:

Let H be a normal subgroup of G and let a belong to G. if the element at H has order 3 in the group G/H and |H| = 10, what are the possibilities for the order of a?

Related Book For answer-question

An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

See More Books

Posted Date: Dec 18, 2018 04:24 AM

See More Questions

Let H be a nonempty, closed, bounded subset of Rn. a) Suppose that f : H Rm is continuous. Prove that is finite and there exists an x0 H such that ||f(x0)|| = ||f||H. b) A sequence of functions fk: H...
Let H be a closed, connected, nonempty Jordan region and suppose that f: H R is continuous. If g: H R is integrable and nonnegative on H, prove that there is an x0 H such that f(x0) g(x) dx =...
Let H be a hyperplane in a linear space X. Then H is parallel to unique subspace V such that 1. x0 V H = V 2. V X 3. X = lin{V, x1} for every x1 V 4. for every x X and x1 V, there exists a...
A rectangular loop of wire with sides 0.20 and 0.35 m lies in a plane perpendicular to a constant magnetic field (see part a of the drawing). The magnetic field has a magnitude of 0.65 T and is...
How is it possible that a corporation earning net income each year is becoming less liquid?
For an arbitrary constant a, let Y(t) = X(t + a). If X(t) is a stationary random process, is Y(t) stationary?
Regional Highway Transport is a large trucking company. Regional Highway Transport uses the units-of-production (UOP) method to depreciate its trucks. In 2009, Regional Highway Transport acquired a...
1. What are the differences between a Direct Subsidized Loan and a Direct Unsubsidized Loan? 2. Does Carly have a grace period? When is she expected to start making payments on her student loans? 3....
A material has an index of refraction n ( x ) that varies with position x within its thickness. Obtain an expression in terms of co and n ( x ) for the transit time for radiation to pass through a...
Pet Emporium had a robbery on the weekend in which a large amount of inventory was taken. The loss is covered completely by insurance. A physical inventory count determined that the cost of the...
A salesperson gets paid a salary of $2,000 per month, with a quota of $10,000 per month before they earn a commission, and then a 5% commission on all sales above $10,000. What is their total...
Shere Hite sent detailed questionnaires (which, according to Hite, took an average of 4.4 hours to fill out) to 100,000 women and received 4,500 replies, 98 percent saying that they were unhappy in...
What is the name of the official single currency of the European Union?
Describe cost depletion.
Why did the people of the United Kingdom want to exit the European Union?
A study found that the grade point averages (GPAs) of women at all-women colleges tend to be higher than the GPAs of women at coeducational colleges, and concluded that women do better when they...
Claster Company leased machinery with a fair value of $1,100,000 from Tanner Corporation on 1/1/24. The agreement is a 5-year noncancellable lease requiring annual payments of $246,110 beginning...
Write the general quadratic equation y2 - 8y - 4x + 28 = 0 in standard form. Determine the vertex, focus, and directrix of the parabola defined by this equation. Sketch a graph.
You are considering the purchase of a machine with an initial outlay of $45,000 with a 5-year life. It is expected to generate sales of $58,000, operating costs excluding depreciation of $41,000, and...
Define the distance between two nonempty subsets A and B of R" by a) Prove that if A and B are compact sets which satisfy A B = , then dist(A, B) > 0. b) Show that there exist nonempty, closed sets...
a) Show that Green's Theorem does not hold if continuity of P, Q is relaxed at one point in E. [Consider P = y/(x2 + y2), Q = -x/(x2 + y2), and E = B1(0, 0).] b) Show that the Divergence Theorem does...
Let r > 0, f: Br(0) R, and suppose that there exists an a > 1 such that |fx)| < ||x|a for all x r(0). Prove that f is differentiable at 0. What happens to this result when a = 1?
Assume that Boardmaster sold skateboards to a department store for $$35,000$ cash. How would this transaction affect Boardmasters accounting equation? a. Increase both assets and stockholders...
Generally Accepted Accounting Principles (GAAP) are created by the a. Securities and Exchange Commission (SEC). b. Financial Accounting Standards Board (FASB). C. Institute of Management Accountants...
Boardmaster is famous for custom skateboards. At the end of a recent year, Boardmasters total assets added up to $$622$ million, and stockholders equity was $$487$ million. How much did...

Let H be a normal subgroup of G and let a belong to G. if the element

Question:

Expert Answer:

Let H be a subgroup of G and a G To find the possibilities for the order of a when order of aH is 3 ... View the full answer

An Introduction to Analysis

Students also viewed these mathematics questions