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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

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