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### get multiplicative subgroup of Z/nZ

Is it possible to get a multiplicative group object of integers modulo n?

For example for n=15 the elements are {1,2,4,7,8,11,13,14}

Of course I can get the elements itself with

R = Integers(15)

R.list_of_elements_of_multiplicative_group()

but not as a group.

It is also possible to construct the group as AbelianGroup, but then the elements are not integers...

AbelianGroup([2,4])

### get multiplicative subgroup of Z/nZ

Is it possible to get a multiplicative group object of integers modulo n?

For example for n=15 the elements are {1,2,4,7,8,11,13,14}

Of course I can get the elements itself with

R = Integers(15)

R.list_of_elements_of_multiplicative_group()

but not as a group.

It is also possible to construct the isomorphic group as AbelianGroup, C2 x C4, but then the elements are not integers...integers:

AbelianGroup([2,4])

### get multiplicative subgroup of Z/nZ

Is it possible to get a multiplicative group object of integers modulo n?

For example for n=15 the elements are {1,2,4,7,8,11,13,14}

Of course I can get the elements itself with

R = Integers(15)

R.list_of_elements_of_multiplicative_group()

but not as a group.

It is also possible to construct the isomorphic group C2 x C4, but then the elements are not integers:

AbelianGroup([2,4])G=AbelianGroup([2,4])