In Exercises 1- 9, let G be the given group. Write out the elements of a group of permutations that is isomorphic to G , and exhibit an isomorphism from G to this group. Let G be the multiplicative group of units U 5 = { [ 1 ] , [ 2 ] , [ 3 ] , [ 4 ] } ⊆ Z 5 .
Solution Summary: The author explains the isomorphism map from a multiplicative group of units U_5 to permutations group
In Exercises 1- 9, let
G
be the given group. Write out the elements of a group of permutations that is isomorphic to
G
, and exhibit an isomorphism from
G
to this group.
Let
G
be the multiplicative group of units
U
5
=
{
[
1
]
,
[
2
]
,
[
3
]
,
[
4
]
}
⊆
Z
5
.
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