List questions from linear-groups

Published on 10 Nov 2017 - 16:10

193

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Commutators of matrices and vector fields

Published on 15 Nov 2017 - 10:38

2.7k

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Does SO(3) preserve the cross product?

Published on 24 Nov 2017 - 8:06

246

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Finitely generated torsion subgroup of $SO(3,\mathbb{R})$ is finite

Published on 05 Dec 2017 - 20:20

194

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The center of a linear group with finite conjugacy classes has finite index

Published on 26 Mar 2026 - 6:13

424

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Semidirect Products of the form $(\mathbb{Z}_p \times \mathbb{Z}_p)\rtimes_{\phi}\operatorname{GL}(2,p)$

Published on 09 Apr 2011 - 4:13

1.9k

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$PGL(n, F)=PSL(n, F)$

Published on 19 Mar 2012 - 8:21

13.3k

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The Center of $\operatorname{GL}(n,k)$

Published on 10 Feb 2013 - 19:36

869

Views

How is $\mathrm{PGL}(V)$ a subgroup of $\mathrm{P\Gamma L}(V)$?

Published on 02 Mar 2013 - 12:39

1.2k

Views

Why is the quotient map $SL_n(\mathbb{Z})$ to $SL_n(\mathbb{Z}/p\mathbb Z)$ is surjective?

Published on 05 Mar 2013 - 19:55

779

Views

$p$-Sylow subgroups of $\operatorname{GL}(n, \mathbb{F}_{p^k})$

Published on 12 Mar 2013 - 21:34

217

Views

A connected group which is disconnected

Published on 21 Aug 2020 - 10:28

394

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Is the fundamental group of the Projective Line of order 2?

Published on 01 Oct 2020 - 2:58

1.1k

Views

Is $GL_n(\Bbb(R))$ and $SL_n(\Bbb (R)) $ compact?

Published on 25 Mar 2026 - 16:01

1.5k

Views

SU(1,1) isomorphic to SL(2,R), but SU(2) is not

Published on 08 Oct 2020 - 11:01

List Question

Centralizer of diagonal matrices in $SL_n(\mathbb{R})$

Commutators of matrices and vector fields

Does SO(3) preserve the cross product?

Finitely generated torsion subgroup of $SO(3,\mathbb{R})$ is finite

The center of a linear group with finite conjugacy classes has finite index

Semidirect Products of the form $(\mathbb{Z}_p \times \mathbb{Z}_p)\rtimes_{\phi}\operatorname{GL}(2,p)$

$PGL(n, F)=PSL(n, F)$

The Center of $\operatorname{GL}(n,k)$

How is $\mathrm{PGL}(V)$ a subgroup of $\mathrm{P\Gamma L}(V)$?

Why is the quotient map $SL_n(\mathbb{Z})$ to $SL_n(\mathbb{Z}/p\mathbb Z)$ is surjective?

$p$-Sylow subgroups of $\operatorname{GL}(n, \mathbb{F}_{p^k})$

A connected group which is disconnected

Is the fundamental group of the Projective Line of order 2?

Is $GL_n(\Bbb(R))$ and $SL_n(\Bbb (R)) $ compact?

SU(1,1) isomorphic to SL(2,R), but SU(2) is not

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