I've read that the radical layers of the group algebra $kP$ of a $p$-group $P$ coincides with the its socle layers (char $k = p$). What does this tell me about the structure of the group algebra or resp. about p-groups?
radical layers equal socle layers
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representation-theory
finite-groups
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0«To understand how kP-modules glue together» is 87% of what representation theory is! That is not a specific question, really :) – 2011-11-30