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Questions on group theory which concern finite groups.

10 votes
Accepted

Is a $k[G]$-module which is free on every cyclic subgroup free?

Suppose that $E = C_p \times \dots \times C_p$ be an elementary abelian $p$-group, say of rank $r$, and let $k$ be a field of characteristic $p$. Then the group algebra $kE$ is isomorphic to $k[x_1, \ …
John Palmieri's user avatar