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Questions about the branch of algebra that deals with groups.

6 votes

Subalgebra of a group algebra

If $A$ is the group algebra of a subgroup, then $k[G]$ will be free as a module over $A$, and that may help to rule out some cases. This is not at all an "if and only if" statement, though. Propositi …
John Palmieri's user avatar
0 votes

Another group cohomology cup product question

I'm not sure what kind of answer you're hoping for: how will you describe an element of $H^4$, for example, without using cocycles? Having said that, perhaps syzygies would help. Let $I$ denote the …
John Palmieri's user avatar