Ideally I would like to know the Schur multiplier of $Gl(n, F_3)$, but perhaps this is not reasonable to ask. But for a small fixed $n$, this should be known, but i could not find any result when doing a google search. Could someone kindly provide a reference for the same? Thanks.
2026-03-26 09:40:16.1774518016
Schur Multiplier of general linear group
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According to this paper (which I just found with a Google search, so it'd probably be useful to look up the citation it lists), the Schur multiplier of $GL_n(\mathbb{F}_p)$ is trivial for $p\not = 2$. The paper mentions that it was "computed only recently" (the paper it lists was published in 2008), though that might just be the general case rather than $p = 3$ specifically.