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Results tagged with finite-groups
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user 12668
Questions on group theory which concern finite groups.
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votes
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answer
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Centralizers of elements in general linear group over Z mod prime power
I would like to know for which elements $x$ in $G:=Gl_n(\mathbb{Z}/\ell^e\mathbb{Z})$ their centralizers $C_G(x):=\{ y \in G \mid xy=yx\}$ are abelian groups.
Here, $n$ is an integer $\geq 2$ an …
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