List questions from linear-groups

Published on 27 Mar 2021 - 7:15

269

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Is the special linear group of order $n$ bounded in the $\mathbb{R}^{n \times n}$ metric?

Published on 06 Apr 2021 - 9:32

42

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Solve equation $X^r=Id$ in $\operatorname{SL}_n(\Bbb F_q)$

Published on 07 Apr 2021 - 7:44

155

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What is the algebraic group whose $\mathbb Q_p$-rational points are the group $\mathrm{GU}_n(\mathbb Q_p)$?

Published on 25 Mar 2026 - 19:03

696

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Connected lie subgroup of $SO(3)$

Published on 24 Apr 2021 - 10:50

133

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why do matrices in orthogonal group have determinant 1 in characteristic 2?

Published on 24 Mar 2026 - 11:50

110

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Maximal torus in linear algebraic groups and Lie algebras

Published on 30 May 2021 - 8:50

119

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Finite abelian subgroups of $GL(2,\mathbb C)$ without Pseudoreflection

Published on 26 Mar 2026 - 2:54

35

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Changing basis $V$

Published on 05 Jun 2021 - 2:12

299

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Order of $PSL(n,q)$

Published on 26 Mar 2026 - 4:31

501

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Finding an element of order $p+1$ in $\text{SL}_2(\mathbb{F}_p)$ and Sylow subgroups of $\text{SL}_2(\mathbb{F}_p)$

Published on 30 Jun 2021 - 14:22

120

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Elements of order $p$ in $\operatorname{PSL}_2(\mathbb{F}_p)$

Published on 02 Jul 2021 - 18:45

223

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What is the difference between $PGL(2, \mathbb R)$ and $SL(3, \mathbb R)$?

Published on 26 Mar 2026 - 6:04

143

Views

Do different naming conventions exist regarding what $PGL(n, k)$ means?

Published on 26 Mar 2026 - 4:30

95

Views

Group action on one-dimensional subspaces

Published on 03 Oct 2021 - 17:34

List Question

Definition of the Lorentz group

Is the special linear group of order $n$ bounded in the $\mathbb{R}^{n \times n}$ metric?

Solve equation $X^r=Id$ in $\operatorname{SL}_n(\Bbb F_q)$

What is the algebraic group whose $\mathbb Q_p$-rational points are the group $\mathrm{GU}_n(\mathbb Q_p)$?

Connected lie subgroup of $SO(3)$

why do matrices in orthogonal group have determinant 1 in characteristic 2?

Maximal torus in linear algebraic groups and Lie algebras

Finite abelian subgroups of $GL(2,\mathbb C)$ without Pseudoreflection

Changing basis $V$

Order of $PSL(n,q)$

Finding an element of order $p+1$ in $\text{SL}_2(\mathbb{F}_p)$ and Sylow subgroups of $\text{SL}_2(\mathbb{F}_p)$

Elements of order $p$ in $\operatorname{PSL}_2(\mathbb{F}_p)$

What is the difference between $PGL(2, \mathbb R)$ and $SL(3, \mathbb R)$?

Do different naming conventions exist regarding what $PGL(n, k)$ means?

Group action on one-dimensional subspaces

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