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 { [ 2 ] , [ 4 ] , [ 6 ] , [ 8 ] } ⊆ Z 10 .
Solution Summary: The author explains that the permutations group isomorphic to the multiplicative group G=left left[2right],left[4 right],left
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
{
[
2
]
,
[
4
]
,
[
6
]
,
[
8
]
}
⊆
Z
10
.
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