Timeline for Representation theory of a finite p-group over a field of characteristic p: dim of invariants =1 => dim of coinvariants = 1?
Current License: CC BY-SA 3.0
4 events
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May 5, 2012 at 17:32 | comment | added | Henri Johnston | A very nice answer - thanks! If I understand correctly: under the given hypotheses, by combining your argument with its `dual' we in fact have $\dim_k W^G=1 \Leftrightarrow W≅k[G] \Leftrightarrow dim_k W_G = 1$. | |
May 5, 2012 at 17:13 | vote | accept | Henri Johnston | ||
May 4, 2012 at 16:31 | comment | added | Joël | Nice answer, modp ! | |
May 4, 2012 at 16:28 | history | answered | modp | CC BY-SA 3.0 |