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Let H = {A E GL(2, R) | det A is an integer power of 2}. Show that H is a subgroup of GL(2, R).

Let H = {A E GL(2, R) | det A is an integer power of 2}. Show that H is a subgroup of GL(2, R).

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.4: Cosets Of A Subgroup
Problem 28E: Let G be a group of order pq, where p and q are primes. Prove that any nontrivial subgroup of G is...
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Let H = {A E GL(2, R) | det A is an integer power of 2}. Show that H is a subgroup of GL(2, R).
Transcribed Image Text:Let H = {A E GL(2, R) | det A is an integer power of 2}. Show that H is a subgroup of GL(2, R).
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