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Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.3: Subgroups
Problem 43E: 43. Suppose that is a nonempty subset of a group . Prove that is a subgroup of if and only if for...
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a b
|| a, b, c, d E z } under addition. Let H =
d]
51. Let G =
{:)=
[a b]
E Gla + b+ c+ d = @}. Prove that H is a subgroup of G.
What if 0 is replaced by 1?
Transcribed Image Text:a b || a, b, c, d E z } under addition. Let H = d] 51. Let G = {:)= [a b] E Gla + b+ c+ d = @}. Prove that H is a subgroup of G. What if 0 is replaced by 1?
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