List questions from linear-groups

Published on 26 Oct 2021 - 18:14

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fundamental group of SO(3) through action

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Nontrivial homogeneous Vector bundle

Published on 26 Mar 2026 - 9:25

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Proving that matrices in $O(2)$ are of one of two forms

Published on 22 Dec 2021 - 17:48

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What are the subgroups of the projective general linear group of degree 3 over a finite field?

Published on 22 Dec 2021 - 22:46

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Finding the normalizer of $\left\{ \left(\begin{matrix} x &0 \\0 & y \end{matrix}\right) : x,y\in \mathbb R\setminus\{0\} \right\}$

Published on 26 Mar 2026 - 3:12

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Is it true that $F^*\wr S_n$ is a solvable group, when $n\leq 5$?

Published on 25 Mar 2026 - 14:34

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If every finitely generated subgroup of a linear group G is solvable, then G is solvable

Published on 23 Feb 2026 - 7:45

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If every finite quotient group of a finitely generated linear group G is solvable, then G is solvable

Published on 15 Jan 2022 - 9:52

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(Non)compactness of (in)definite unitary groups over $\mathbb{R}$

Published on 16 Jan 2022 - 18:58

283

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7.5.4 of Stillwell Naive Lie Theory

Published on 27 Mar 2022 - 16:07

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How to show that $SO_{2,1}^+$ is path connected?

Published on 29 Mar 2022 - 1:17

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$N^-D N^+$ is Zariski open dense in $\text{GL}(n, \mathbb R)$

Published on 19 Apr 2022 - 21:11

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The general linear group $GL(n, \mathbb{C})$ has no proper subgroup of finite index.

Published on 26 Mar 2026 - 8:03

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Proving Matrix Lie Groups are Lie Groups without using Lie Algebras

Published on 29 Jul 2022 - 18:24

List Question

The Sylow $2$-subgroups of $SL(2,q)$ are not cyclic for $q \equiv 3$ mod $4$?

fundamental group of SO(3) through action

Nontrivial homogeneous Vector bundle

Proving that matrices in $O(2)$ are of one of two forms

What are the subgroups of the projective general linear group of degree 3 over a finite field?

Finding the normalizer of $\left\{ \left(\begin{matrix} x &0 \\0 & y \end{matrix}\right) : x,y\in \mathbb R\setminus\{0\} \right\}$

Is it true that $F^*\wr S_n$ is a solvable group, when $n\leq 5$?

If every finitely generated subgroup of a linear group G is solvable, then G is solvable

If every finite quotient group of a finitely generated linear group G is solvable, then G is solvable

(Non)compactness of (in)definite unitary groups over $\mathbb{R}$

7.5.4 of Stillwell Naive Lie Theory

How to show that $SO_{2,1}^+$ is path connected?

$N^-D N^+$ is Zariski open dense in $\text{GL}(n, \mathbb R)$

The general linear group $GL(n, \mathbb{C})$ has no proper subgroup of finite index.

Proving Matrix Lie Groups are Lie Groups without using Lie Algebras

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