List questions from general-linear-group

224

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Finding representatives for the distinct conjugacy classes of matrices of finite order in $GL_2(\mathbb{Z}_p)$.

Published on 11 Apr 2026 - 19:28

69

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Where is the general linear group in geometric algebra?

Published on 12 Apr 2026 - 5:31

157

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Is every element of $G$ of order $p$ conjugate to the following matrix?

Published on 11 Apr 2026 - 14:42

170

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Find a group isomorphic to $GL(2, \mathbb{Z}/6\mathbb{Z})$.

Published on 11 Apr 2026 - 19:22

93

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Rank of the group of Upper Unitriangular Matrices

Published on 15 Apr 2026 - 0:12

409

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irreducible representation of $GL(V,\mathbb{C}) $ on the symmetric subspace of $V\otimes V $

Published on 12 Apr 2026 - 3:20

448

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General Linear Group is a manifold

Published on 11 Apr 2026 - 8:50

178

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about Cartan's theorem

Published on 11 Apr 2026 - 23:05

628

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Unipotent vs nilpotent subgroup of GL(n)

Published on 25 Apr 2026 - 15:00

154

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Show that $S=\{ A\in GL_n(K)\mid AJA^t=J\}$ is a subgroup of $GL_n(K)$, where $J\in K^{n\times n}$.

Published on 15 Apr 2026 - 6:10

48

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Find two matrices A,B$\in {{M}_{n\times n}}$ with the propertie that there not exists such a continuous function $f:[0,1]\to M$ with $f(0)=A,f(1)=B$

Published on 15 Apr 2026 - 5:19

83

Views

Confusion on the order of $GL_2(\mathbb{F}_p)$

Published on 16 Apr 2026 - 6:23

61

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General linear group of tensor product.

Published on 12 Apr 2026 - 4:59

168

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$\operatorname{GL}_n(k)/k^\times \cong\operatorname{SL}_n(k)$

Published on 15 Apr 2026 - 21:02

218

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$GL_n\mathbb{C}$ as subgroup of $GL_{2n}\mathbb{R}$

Published on 14 Apr 2026 - 8:17

List Question

Finding representatives for the distinct conjugacy classes of matrices of finite order in $GL_2(\mathbb{Z}_p)$.

Where is the general linear group in geometric algebra?

Is every element of $G$ of order $p$ conjugate to the following matrix?

Find a group isomorphic to $GL(2, \mathbb{Z}/6\mathbb{Z})$.

Rank of the group of Upper Unitriangular Matrices

irreducible representation of $GL(V,\mathbb{C}) $ on the symmetric subspace of $V\otimes V $

General Linear Group is a manifold

about Cartan's theorem

Unipotent vs nilpotent subgroup of GL(n)

Show that $S=\{ A\in GL_n(K)\mid AJA^t=J\}$ is a subgroup of $GL_n(K)$, where $J\in K^{n\times n}$.

Find two matrices A,B$\in {{M}_{n\times n}}$ with the propertie that there not exists such a continuous function $f:[0,1]\to M$ with $f(0)=A,f(1)=B$

Confusion on the order of $GL_2(\mathbb{F}_p)$

General linear group of tensor product.

$\operatorname{GL}_n(k)/k^\times \cong\operatorname{SL}_n(k)$

$GL_n\mathbb{C}$ as subgroup of $GL_{2n}\mathbb{R}$

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