List questions from general-linear-group

Published on 25 Mar 2026 - 6:10

133

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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 Mar 2026 - 8:10

346

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

Published on 25 Mar 2026 - 8:07

109

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

Published on 25 Mar 2026 - 8:12

69

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Subspace Topology of $GL_n(\Bbb R)$

Published on 25 Mar 2026 - 8:09

120

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

Published on 25 Mar 2026 - 8:09

79

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

Published on 25 Mar 2026 - 8:13

61

Views

On two irreducible actions

Published on 06 Apr 2026 - 3:01

216

Views

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

Published on 25 Mar 2026 - 8:12

220

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

Published on 25 Mar 2026 - 8:06

458

Views

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

Published on 25 Mar 2026 - 8:09

78

Views

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

Published on 25 Mar 2026 - 8:12

163

Views

Proof techniques to show a representation is faithful

Published on 25 Mar 2026 - 8:07

137

Views

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

Published on 25 Mar 2026 - 8:07

259

Views

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

Published on 25 Mar 2026 - 8:09

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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