Talk:Subgroup Mapping Matrices (V-maps)/WikispacesArchive

From Xenharmonic Wiki
Jump to: navigation, search


All discussion below is archived from the Wikispaces export in its original unaltered form.
Please do not add any new discussion to this archive page.
All new discussion should go on Talk:Subgroup Mapping Matrices (V-maps).

Abelian groups vs modules

Normally you'd call these abelian groups, or possibly Z-modules, because just calling them modules suggests things which aren't true. I suggest changing this to "abelian groups", which is what it would normally be called and what I've been calling it.

- genewardsmith July 31, 2012, 09:09:28 AM UTC-0700

OK, but what's the "dual group" of an abelian group? Is it well-defined?

- mbattaglia1 July 31, 2012, 09:15:56 AM UTC-0700

And what's the terminology I should use for the fundamental "spaces" in matrices then?

I see there's some precedence for talking about the "column module", "row module", "null module" of an integer matrix acting as a linear transformation on a Z-module, instead of column space, row space, etc. Would I call it the "column group" and "row group"? Would anyone know what I mean?

- mbattaglia1 July 31, 2012, 09:18:30 AM UTC-0700

Note also I explicitly spelled it out here at the top

But I'm curious what things I wrote aren't true of modules in general and only of Z-modules.

- mbattaglia1 July 31, 2012, 09:26:31 AM UTC-0700