List questions from general-linear-group

Published on 25 Mar 2026 - 6:10

132

Views

Proof that given $p$ prime and $n \in \mathbb{N}$, $n!$ divides $(p^n - 1)(p^n - p)\cdots(p^n - p^{n-1})$.

Published on 25 Apr 2020 - 22:28

345

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When are $GL_n$ and $GL_m$ equivalent... in characteristic 2?

Published on 26 Apr 2020 - 0:40

108

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$G/F(G)$ is isomorphic to $X_1\times\cdots\times X_t$

Published on 20 May 2020 - 6:29

68

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Subspace Topology of $GL_n(\Bbb R)$

Published on 20 May 2020 - 11:00

119

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Continuity of a Group Homomorphism, Representation of SU(2)

Published on 20 May 2020 - 18:20

78

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About the closure of the subset of n'th roots of the identity matrix.

Published on 06 Jun 2020 - 5:50

59

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On two irreducible actions

Published on 30 Jun 2020 - 14:24

215

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$A\in GL_n(\mathbb{C})$ has a unitary triangularization

Published on 03 Jul 2020 - 7:45

219

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$PSl_n(\mathbb{C})\cong PGl_n(\mathbb{C})$?

Published on 11 Jul 2020 - 9:45

457

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Compute the order of an element in $GL(n, 2)$

Published on 19 Jul 2020 - 9:59

77

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How to show that $\begin{pmatrix} 0 & -x \\\ 1/x & 0\end{pmatrix}$ is conjugate to a rotation?

Published on 29 Jul 2020 - 8:55

162

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Proof techniques to show a representation is faithful

Published on 01 Feb 2023 - 0:34

136

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Polar decomposition on $\mathbf{GL}(n,\mathbb{R})$

Published on 01 Feb 2023 - 3:38

258

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Prove that Aut($\mathbb Z \times \mathbb Z$) $\cong$ $\text{GL}_2(\mathbb Z)$

Published on 23 Feb 2023 - 18:14

List Question

Invertible rational matrices with positive determinant decomposition

Proof that given $p$ prime and $n \in \mathbb{N}$, $n!$ divides $(p^n - 1)(p^n - p)\cdots(p^n - p^{n-1})$.

When are $GL_n$ and $GL_m$ equivalent... in characteristic 2?

$G/F(G)$ is isomorphic to $X_1\times\cdots\times X_t$

Subspace Topology of $GL_n(\Bbb R)$

Continuity of a Group Homomorphism, Representation of SU(2)

About the closure of the subset of n'th roots of the identity matrix.

On two irreducible actions

$A\in GL_n(\mathbb{C})$ has a unitary triangularization

$PSl_n(\mathbb{C})\cong PGl_n(\mathbb{C})$?

Compute the order of an element in $GL(n, 2)$

How to show that $\begin{pmatrix} 0 & -x \\\ 1/x & 0\end{pmatrix}$ is conjugate to a rotation?

Proof techniques to show a representation is faithful

Polar decomposition on $\mathbf{GL}(n,\mathbb{R})$

Prove that Aut($\mathbb Z \times \mathbb Z$) $\cong$ $\text{GL}_2(\mathbb Z)$

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