List questions from linear-groups

Published on 30 Jul 2015 - 10:18

227

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Irreducible Subrepresentations of representation of $\operatorname{GL}_{3}(\mathbb{F}_q)$

Published on 27 Aug 2015 - 16:54

230

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$n \times n$ matrices galore.

Published on 10 Sep 2015 - 18:43

657

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Properties of point stabilizers of $PSL(2, q)$

Published on 21 Oct 2015 - 11:09

4.9k

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Cosets of SL(2,R) in GL(2,R)

Published on 27 Oct 2015 - 19:22

4.5k

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Is this group of matrices cyclic?

Published on 01 Nov 2015 - 14:02

1.7k

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Showing that the general linear group is isomorphic to symmetric group.

Published on 25 Mar 2026 - 17:00

346

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Suppose A is diagonalizable. Can this diagonalization necessarily be done by a matrix P in the special linear group?

Published on 09 Nov 2015 - 6:15

99

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When is $SO(m,n)$ simple as a Lie group? What are the Zariski and Euclidean components?

Published on 14 Nov 2015 - 7:17

424

Views

A basic question on the complete flag variety

Published on 06 Mar 2026 - 1:58

360

Views

Presentation of the special linear group $SL_2(\mathbb{Z})\cong G=\langle a,b|a^4=1,a^2b^{-3}=1\rangle$

Published on 18 Mar 2026 - 23:56

1.2k

Views

Isomorphism between $SL(2,\mathbb{Z}) \times \mathbb{Z_2}$ and $GL(2,\mathbb{Z})$

Published on 16 Nov 2015 - 23:23

1.4k

Views

Techniques for showing that a subgroup is not normal

Published on 09 Mar 2026 - 13:11

307

Views

For an $n$ by $n$ matrix with integer entries and odd determinant, show for some positive $k$ all entries of the matrix $A^k - I$ are even

Published on 18 Dec 2015 - 19:10

337

Views

All possible generators of Group

Published on 18 Jan 2016 - 18:47

List Question

A normal subgroup of $ GL(n, K) $

Irreducible Subrepresentations of representation of $\operatorname{GL}_{3}(\mathbb{F}_q)$

$n \times n$ matrices galore.

Properties of point stabilizers of $PSL(2, q)$

Cosets of SL(2,R) in GL(2,R)

Is this group of matrices cyclic?

Showing that the general linear group is isomorphic to symmetric group.

Suppose A is diagonalizable. Can this diagonalization necessarily be done by a matrix P in the special linear group?

When is $SO(m,n)$ simple as a Lie group? What are the Zariski and Euclidean components?

A basic question on the complete flag variety

Presentation of the special linear group $SL_2(\mathbb{Z})\cong G=\langle a,b|a^4=1,a^2b^{-3}=1\rangle$

Isomorphism between $SL(2,\mathbb{Z}) \times \mathbb{Z_2}$ and $GL(2,\mathbb{Z})$

Techniques for showing that a subgroup is not normal

For an $n$ by $n$ matrix with integer entries and odd determinant, show for some positive $k$ all entries of the matrix $A^k - I$ are even

All possible generators of Group

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