List questions from linear-groups

Published on 15 Apr 2026 - 12:38

269

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Automorphisms of $GL_2(\mathbb{Z}/p^{n}\mathbb{Z})$

Published on 12 Apr 2026 - 9:06

1.8k

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Elements of $GL_{2}(\mathbb{Z})$ of finite order

Published on 11 Apr 2026 - 14:36

2.9k

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Conjugacy classes in $SU_2$

Published on 14 Apr 2026 - 17:22

260

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Every matrix in $SU(2)$ can be written as: $P= I\cos \theta+ A\sin \theta$, $A$ on the equator.

Published on 14 Apr 2026 - 20:04

786

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The rotation group $SO(3)$ may be mapped to a $2$-sphere by sending a rotation matrix to its first column. How can I describe the fibres of the map?

Published on 10 May 2026 - 18:30

115

Views

Criterion for $PSL(2,q)$

Published on 10 May 2026 - 9:14

545

Views

Quaternions and $SU(2)$

Published on 07 May 2026 - 17:52

86

Views

Confusion about dimension of Lie algebras, and 'isomorphism between Lie algebras'

Published on 25 Mar 2026 - 19:06

183

Views

Is $SL(2,3)$ have only $4$ normal subgroup?

Published on 25 Mar 2026 - 12:55

255

Views

Generators and commutator Subgroup of $SL(2,3)$

Published on 25 Mar 2026 - 12:54

458

Views

Proof of Cartan decomposition for $G=\operatorname{GL}_2(F)$ with local field $F$ (and Bruhat decomposition for a matrix with integer coefficients)

Published on 25 Mar 2026 - 12:51

862

Views

$SL(2,\mathbb{Z})$ is a lattice in $SL(2,\mathbb{R})$

Published on 25 Mar 2026 - 12:53

81

Views

If $k^n$ no simple $kG$ module, then we can find a basis in a special form.

Published on 25 Mar 2026 - 12:54

36

Views

Intersection of a locally finite subgroup and a compact subgroup of a linear group.

Published on 25 Mar 2026 - 16:03

List Question

$GL_2(\mathbb{C})$ acting on extended complex numbers.

Automorphisms of $GL_2(\mathbb{Z}/p^{n}\mathbb{Z})$

Elements of $GL_{2}(\mathbb{Z})$ of finite order

Conjugacy classes in $SU_2$

Every matrix in $SU(2)$ can be written as: $P= I\cos \theta+ A\sin \theta$, $A$ on the equator.

The rotation group $SO(3)$ may be mapped to a $2$-sphere by sending a rotation matrix to its first column. How can I describe the fibres of the map?

Criterion for $PSL(2,q)$

Quaternions and $SU(2)$

Confusion about dimension of Lie algebras, and 'isomorphism between Lie algebras'

Is $SL(2,3)$ have only $4$ normal subgroup?

Generators and commutator Subgroup of $SL(2,3)$

Proof of Cartan decomposition for $G=\operatorname{GL}_2(F)$ with local field $F$ (and Bruhat decomposition for a matrix with integer coefficients)

$SL(2,\mathbb{Z})$ is a lattice in $SL(2,\mathbb{R})$

If $k^n$ no simple $kG$ module, then we can find a basis in a special form.

Intersection of a locally finite subgroup and a compact subgroup of a linear group.

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