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Results tagged with group-algebras
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user 22989
11
votes
Accepted
Is any finite-dimensional algebra a sub-algebra of a finite-group algebra?
Assuming that by "sub-algebra" you mean "unital sub-algebra":
Every group algebra has a one-dimensional module (the trivial module), so any subalgebra has a one-dimensional module.
But many finite-dim …
- 35.2k
12
votes
Group rings isomorphic over $\mathbf{F}_p$, but not over $\mathbf{Z}_p$?
In a very short paper put on the arXiv recently, García, Margolis and del Río give examples of nonisomorphic finite $2$-groups $G$ and $H$ with $\mathbb{F}_2G\cong\mathbb{F}_2H$, thus solving the modu …
- 35.2k