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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
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$G$-action on the integral homology of a compact surface
This answer complements Oscar Randal-Williams's. First of all, if $G=\mathbb{Z}/p$ acts freely and orientation-preservingly on a closed orientable surface $S$ then $H_{1}(S) =\mathbb{Z}^{2}\oplus (\ma …