Question

General Linear Group $GL_n(R)$ not Finitely Generated

score 1.5k · Answer 1 · 2026-05-06 02:29:57

1.5k

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General Linear Group $GL_n(R)$ not Finitely Generated

Published on 06 May 2026 - 2:29

score 1k · Answer 2 · 2026-05-06 14:26:00

1k

Views

General Linear Group $GL_n(\mathbb{Z})$ of Integers is finitely generated

Published on 06 May 2026 - 14:26

score 1.4k · Answer 3 · 2026-05-06 02:30:05

1.4k

Views

Diagonalizability of elements of finite subgroups of general linear group over an algebraically closed field

Published on 06 May 2026 - 2:30

score 421 · Answer 4 · 2026-05-06 13:02:43

421

Views

Why do transformations of ellipses by matrix transformations remain ellipses.

Published on 06 May 2026 - 13:02

score 91 · Answer 5 · 2026-05-10 09:34:24

91

Views

Exactness of the functor $(\quad)^G$ for $G=k^\times$

Published on 10 May 2026 - 9:34

score 3.8k · Answer 6 · 2026-05-07 03:05:02

3.8k

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Commutator Group of $\operatorname{GL}_2(\mathbb{R})$ is $\operatorname{SL}_2(\mathbb{R})$

Published on 07 May 2026 - 3:05

score 1k · Answer 7 · 2026-04-29 12:42:08

1k

Views

Prove that $GL_n(\mathbb{C}) $ is not solvable

Published on 29 Apr 2026 - 12:42

score 250 · Answer 8 · 2026-05-06 13:37:24

250

Views

General affine group of degree one on field of order 4

Published on 06 May 2026 - 13:37

score 1.9k · Answer 9 · 2026-05-06 03:39:45

1.9k

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A group homomorphism from $GL(n,\Bbb {R})$ such that $SL(n,\Bbb {R})$ is the kernel

Published on 06 May 2026 - 3:39

score 55 · Answer 10 · 2026-05-06 09:57:14

55

Views

Show that the Quotient Group $Γ_2(p)/Γ_2(p^k)$ is finite.

Published on 06 May 2026 - 9:57

score 92 · Answer 11 · 2026-05-07 10:35:35

92

Views

How to prove that the following subgroup is normal?

Published on 07 May 2026 - 10:35

score 74 · Answer 12 · 2026-05-10 12:33:11

74

Views

Help me understand these topological properties of linear groups.

Published on 10 May 2026 - 12:33

score 380 · Answer 13 · 2026-04-23 19:00:39

380

Views

$SU(2)$ acts transitively on $\mathbb{CP}^1$

Published on 23 Apr 2026 - 19:00

score 1k · Answer 14 · 2026-05-10 12:33:08

1k

Views

Are the Lie groups $GL_n(\mathbb R)$ and $GL_n(\mathbb C)$ unimodular?

Published on 10 May 2026 - 12:33

score 35 · Answer 15 · 2026-04-24 05:13:09

35

Views

Can the triangularization of a linear group preserve a given good feature of an element?

Published on 24 Apr 2026 - 5:13

List Question

General Linear Group $GL_n(R)$ not Finitely Generated

General Linear Group $GL_n(\mathbb{Z})$ of Integers is finitely generated

Diagonalizability of elements of finite subgroups of general linear group over an algebraically closed field

Why do transformations of ellipses by matrix transformations remain ellipses.

Exactness of the functor $(\quad)^G$ for $G=k^\times$

Commutator Group of $\operatorname{GL}_2(\mathbb{R})$ is $\operatorname{SL}_2(\mathbb{R})$

Prove that $GL_n(\mathbb{C}) $ is not solvable

General affine group of degree one on field of order 4

A group homomorphism from $GL(n,\Bbb {R})$ such that $SL(n,\Bbb {R})$ is the kernel

Show that the Quotient Group $Γ_2(p)/Γ_2(p^k)$ is finite.

How to prove that the following subgroup is normal?

Help me understand these topological properties of linear groups.

$SU(2)$ acts transitively on $\mathbb{CP}^1$

Are the Lie groups $GL_n(\mathbb R)$ and $GL_n(\mathbb C)$ unimodular?

Can the triangularization of a linear group preserve a given good feature of an element?

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