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Results tagged with finite-groups
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user 57472
Questions on group theory which concern finite groups.
5
votes
Embedding $\mathrm{PGL}(n,q^h)$ in $\mathrm{PGL}(nh,q)$
Assume that $n$ is prime to $q^h-1$. Then $\mathrm{SL}(n, q^h)\cap \mathbb F_{q^h}^{\times}$ is trivial and the map $\mathrm{SL}(n, q^h)\rightarrow \mathrm {PGL}(n, q^h)$ is an isomorphism, as $x\maps …
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