Contemporary Abstract Algebra
Contemporary Abstract Algebra
9th Edition
ISBN: 9781337249560
Author: Joseph Gallian
Publisher: Cengage Learning US
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Chapter 9, Problem 7E

Let G = G L ( 2 , R ) and let K be a subgroup of R*. Prove that H = { A G | det A K } is a normal subgroup of G.

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InThe Northern Lights are bright flashes of colored light between 50 and 200 miles above Earth. Suppose a flash occurs 150 miles above Earth. What is the measure of arc BD, the portion of Earth from which the flash is visible? (Earth’s radius is approximately 4000 miles.)
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