List questions from linear-groups

Published on 30 Apr 2026 - 11:19

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Subgroups of $GL_n$ containing upper triangular matrices

Published on 25 Mar 2026 - 14:21

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Let $G = \{A \in G L_n(\mathbb{R}) : \mathrm{det} A = 2^k$ for some $k \in Z \}$. Show that $G$ is a normal subgroup of $H = GL_n(\mathbb{R})$.

Published on 25 Mar 2026 - 14:25

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Generate Cycle Graph/Diagram using GAP

Published on 25 Mar 2026 - 14:19

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Generating $PSL(2,13)$ with two subgroups of coprime order

Published on 25 Mar 2026 - 16:01

24

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Can Group of affine transformations generate CWT?

Published on 10 May 2026 - 19:50

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$\{A \in GL_2(\mathbb R):|\det(A)|=1\}$ is a normal subgroup of $GL_2(\mathbb R)$

Published on 10 May 2026 - 15:02

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conjugacy classes of the special orthogonal group $SO(2)$

Published on 25 Mar 2026 - 14:23

268

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Small order examples of non-nilpotent finite groups in which every minimal normal subgroup intersects the center nontrivially

Published on 25 Mar 2026 - 16:03

87

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Find the invariant conic of an elliptic element of $SL_2(\mathbb R)$

Published on 25 Mar 2026 - 19:10

433

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Generators of $SL_2 (F_q)$

Published on 25 Mar 2026 - 14:22

67

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Group of $2\times2$ matrices that are isomorphic to $SU(2)$

Published on 25 Mar 2026 - 12:54

360

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Confused by quotient group (whats the operation): Show quotient group $GL_n(K)/SL_n(K)$ is abelian.

Published on 25 Mar 2026 - 14:25

44

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Is $GL_{n}(\Bbb{C})$ isomorphism to a subspace of $GL_{2n}(\Bbb{R})$

Published on 05 May 2026 - 6:02

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Proving $x\in\text{SL}(n,\mathbb Q)$ given finite indices of $x^{-1}Gx$ in $G$ and $x^{-1}Gx$

Published on 16 Apr 2026 - 7:49

List Question

Decomposing $SO_3$

Subgroups of $GL_n$ containing upper triangular matrices

Let $G = \{A \in G L_n(\mathbb{R}) : \mathrm{det} A = 2^k$ for some $k \in Z \}$. Show that $G$ is a normal subgroup of $H = GL_n(\mathbb{R})$.

Generate Cycle Graph/Diagram using GAP

Generating $PSL(2,13)$ with two subgroups of coprime order

Can Group of affine transformations generate CWT?

$\{A \in GL_2(\mathbb R):|\det(A)|=1\}$ is a normal subgroup of $GL_2(\mathbb R)$

conjugacy classes of the special orthogonal group $SO(2)$

Small order examples of non-nilpotent finite groups in which every minimal normal subgroup intersects the center nontrivially

Find the invariant conic of an elliptic element of $SL_2(\mathbb R)$

Generators of $SL_2 (F_q)$

Group of $2\times2$ matrices that are isomorphic to $SU(2)$

Confused by quotient group (whats the operation): Show quotient group $GL_n(K)/SL_n(K)$ is abelian.

Is $GL_{n}(\Bbb{C})$ isomorphism to a subspace of $GL_{2n}(\Bbb{R})$

Proving $x\in\text{SL}(n,\mathbb Q)$ given finite indices of $x^{-1}Gx$ in $G$ and $x^{-1}Gx$

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