# Revision history [back]

### How to treat a vector space as a group?

I need to use a module as a group, so that I can define a group algebra over this module.

Essentially, I want to take the group of 2-dimensional complex vector space and define a group algebra over this. I cannot find appropriate direction on the internet and sage gives me the ridiculous "False" as below.

sage: V=FreeModule(CC,2)

sage: V in Groups()

False

### How to treat a vector space as a group?

I need to use a module as a group, so that I can define a group algebra over this module.

Essentially, I want to take the group of 2-dimensional complex vector space and define a group algebra over this. I cannot find appropriate direction on the internet and sage gives me the ridiculous "False" as below.

sage: V=FreeModule(CC,2) V=FreeModule(CC,2)
sage: V in Groups()Groups()
False
 False