# Listing elements of (Z/nZ)*

I want to find all the elements of (Z/nZ)*. Is there a command for that ? For example if the user gives input 8, the the output will be {1,3,5,7}.

Listing elements of (Z/nZ)*

add a comment

3

You can use the method with a surprizing long but explicit name `list_of_elements_of_multiplicative_group`

:

```
sage: G = Zmod(8) ; G
Ring of integers modulo 8
sage: G.list_of_elements_of_multiplicative_group()
[1, 3, 5, 7]
```

If you want this set as a genuine group, you can do:

```
sage: G.unit_group()
Multiplicative Abelian group isomorphic to C2 x C2
```

Please start posting anonymously - your entry will be published after you log in or create a new account.

Asked: ** 2016-10-01 18:28:42 +0200 **

Seen: **716 times**

Last updated: **Oct 01 '16**

get multiplicative subgroup of Z/nZ

How do I understand the result of symbolic integrals

Iterator for conjugacy classes of Sn

Is it possible to run over the isomorphism classes of groups?

specific representation for groups inheriting from Sage's Group class

Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.