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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.

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Richness of the subgroup structure of p-groups

Each finite $p$-group $H$ may be embedded in the Frattini subgroup of an appropriate $p$-group $G$ (for example, $G=H \wr C_p$; here $d(G)\le d(H)+1$. Then for this $G$, the Frattini subgroup $\Phi(G) …
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