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Questions about the branch of algebra that deals with groups.

4 votes

Normalizer of SL_2(Z) in GL_2(R)

Although it goes far beyond the question as posed (for which other answers provide a variety of elementary solutions), there is a broader context for this number-theoretic question. The setting inv …
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30 votes
Accepted

In any Lie group with finitely many connected components, does there exist a finite subgroup...

An immediate consequence of Theorem 3.1(ii) of Ch. XV of Hochschild's book "The structure of Lie groups" is that in such a Lie group, maximal compact subgroups meet every connected component (and are …
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2 votes

About structure of parabolic subgroups of finite classical algebraic groups

It is a general fact that if $P$ is a parabolic $k$-subgroup of an arbitrary connected reductive group $G$ over an arbitrary field $k$ then $U := \mathscr{R}_u(P)$ has a canonical $P$-equivariant filt …
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