| Suppose that p: U15 → U15 is an automorphism. Define H = {x € U15 |¢(x) = x¬1}. Which of the following is correct? O $(H) is a subgroup of G. H is not a subgroup of G.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.7: Direct Sums (optional)
Problem 10E: 10. Suppose that and are subgroups of the abelian group such that . If is a subgroup of such...
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| Suppose that p: U15 → U15 is an automorphism. Define
H = {x E U15 |¢(x) = x=1}. Which of the following is correct?
Þ(H) is a subgroup of G.
O H is not a subgroup of G.
Þ(H) is not a subgroup of G.
None of the choices
Transcribed Image Text:| Suppose that p: U15 → U15 is an automorphism. Define H = {x E U15 |¢(x) = x=1}. Which of the following is correct? Þ(H) is a subgroup of G. O H is not a subgroup of G. Þ(H) is not a subgroup of G. None of the choices
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