Question
Asked Oct 4, 2019
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Let G and H be groups, and let 0 : G -» H be a
{x E G 0(x) = e} is called the kernel of 0 and is denoted by ker (0). Show that ker (e)
is a subgroup of G
homeomorphism. The set
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Let G and H be groups, and let 0 : G -» H be a {x E G 0(x) = e} is called the kernel of 0 and is denoted by ker (0). Show that ker (e) is a subgroup of G homeomorphism. The set

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Expert Answer

Step 1

From the given information:

Let G and H be the groups

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Step 2

It is needed to show that:

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ker(e) is a subgroup of G

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Step 3

To show it to be a subgroup use one...

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x, yE H H where H is a subgroup

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