List questions from linear-groups

Published on 24 Mar 2026 - 13:44

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Subgroups of $GL_n$ containing upper triangular matrices

Published on 25 Dec 2019 - 6:48

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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 12 Feb 2020 - 14:46

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Generate Cycle Graph/Diagram using GAP

Published on 03 Mar 2020 - 20:05

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

Published on 08 Mar 2020 - 5:40

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Can Group of affine transformations generate CWT?

Published on 25 Mar 2026 - 6:04

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

Published on 25 Mar 2026 - 6:35

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

Published on 14 Apr 2020 - 11:03

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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 Apr 2020 - 23:08

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

Published on 27 Apr 2020 - 16:04

432

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Generators of $SL_2 (F_q)$

Published on 28 Apr 2020 - 13:37

66

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

Published on 06 May 2020 - 8:03

359

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

Published on 07 May 2020 - 8:37

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

Published on 23 Feb 2026 - 1:21

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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 28 Jul 2016 - 12:56

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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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