List questions from general-linear-group

Published on 17 Jun 2022 - 18:55

148

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A Problem of Linear Algebra that can Stumps Anyone

Published on 19 Jun 2022 - 13:42

169

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Finding maximal, solvable, primitive subgroups of a large group in GAP

Published on 20 Jun 2022 - 18:15

44

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Is there a general linear group version of general relativity (not diffeomorphism)?

Published on 09 Jul 2022 - 1:31

124

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Maps from a profinite group to $\operatorname{GL}_n(\mathbb R)$.

Published on 02 Aug 2022 - 16:15

487

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Are a $2\times 2$ matrix in $\text{SL}(2,\mathbb{Z})$ and its transpose conjugate in $\text{GL}(2,\mathbb{Z})$?

Published on 06 Aug 2022 - 19:52

195

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Conjugacy in $\text{GL}(2, \mathbb{Z})$ vs $\text{GL}(2, \mathbb{Q})$

Published on 07 Aug 2022 - 6:41

60

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How does go from $GL(V)$ to $GL_n(F)$? What is the relationship between these groups?

Published on 24 Aug 2022 - 16:41

106

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Why are linear algebraic groups defined the way they are? What is the intuition?

Published on 25 Aug 2022 - 12:23

252

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Prove that the quaternion group of order 8 is isomorphic to a subgroup of $SL_2(\mathbb{F_3})$ generated by the following two elements.

Published on 05 Oct 2022 - 23:58

132

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Linear group contained in symplectic group

Published on 23 Feb 2026 - 6:36

60

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Finding $|Aut(\mathbb{Z}_6 \times \mathbb{Z}_{10} \times \mathbb{Z}_{15})|$

Published on 29 Oct 2022 - 8:28

114

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What's the maximum order of an element in $SL_2(\mathbb{Z} /p\mathbb{Z})$ for $p>2$ prime?

Published on 25 Mar 2026 - 16:03

57

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Isomorphism between quternian and SU(2) and their homomorphisms to SO(3)

Published on 04 Nov 2022 - 14:12

61

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$GL(n, \mathbb{C})$ is not residually finite

Published on 21 Nov 2022 - 15:58

List Question

Abelianization of $PGL(n,F)$

A Problem of Linear Algebra that can Stumps Anyone

Finding maximal, solvable, primitive subgroups of a large group in GAP

Is there a general linear group version of general relativity (not diffeomorphism)?

Maps from a profinite group to $\operatorname{GL}_n(\mathbb R)$.

Are a $2\times 2$ matrix in $\text{SL}(2,\mathbb{Z})$ and its transpose conjugate in $\text{GL}(2,\mathbb{Z})$?

Conjugacy in $\text{GL}(2, \mathbb{Z})$ vs $\text{GL}(2, \mathbb{Q})$

How does go from $GL(V)$ to $GL_n(F)$? What is the relationship between these groups?

Why are linear algebraic groups defined the way they are? What is the intuition?

Prove that the quaternion group of order 8 is isomorphic to a subgroup of $SL_2(\mathbb{F_3})$ generated by the following two elements.

Linear group contained in symplectic group

Finding $|Aut(\mathbb{Z}_6 \times \mathbb{Z}_{10} \times \mathbb{Z}_{15})|$

What's the maximum order of an element in $SL_2(\mathbb{Z} /p\mathbb{Z})$ for $p>2$ prime?

Isomorphism between quternian and SU(2) and their homomorphisms to SO(3)

$GL(n, \mathbb{C})$ is not residually finite

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