List questions from linear-groups

Published on 17 Apr 2026 - 13:20

42

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Existence of a converging sequence in the subspace

Published on 16 Apr 2026 - 6:52

70

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Non-negative matrix factorization with Euclid's algorithm

Published on 09 Apr 2026 - 22:30

2.2k

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What is a basis for $SL(n,F)$?

Published on 15 Apr 2026 - 12:53

1.4k

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How to prove that $\mathrm{SL}_{2} (\mathbb F_{3})$ is not isomorphic to $S_{4}$?

Published on 17 Apr 2026 - 9:17

166

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Prove $\operatorname{GL}_n(\Bbb{R})/\operatorname{SL}_n(\Bbb{R}) \cong \Bbb{R}^\times$

Published on 16 Apr 2026 - 3:34

94

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Subgroups of $SL(n,F)$ which contain $B\cap SL(n,F)$

Published on 16 Apr 2026 - 17:31

498

Views

How to prove $GL_n(\mathbb{C})$ has no subgroup with finite index?

Published on 13 Apr 2026 - 14:02

2k

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Computing the order of $\mathrm{SL}_2(\mathbb F_p)$ as the kernel of $\mathrm{GL}_2(\mathbb F_p)$

Published on 16 Apr 2026 - 21:55

1k

Views

Transpose inverse automorphism is not inner

Published on 12 Apr 2026 - 8:24

61

Views

Is $GL_{n}^{+}(\mathbb R)$ a subgroup of $GL_{n}(\mathbb R)$?

Published on 12 Apr 2026 - 20:08

748

Views

Order of $GL(n,\mathbb{Z}/m \mathbb{Z})$

Published on 10 Apr 2026 - 4:45

474

Views

Showing that SO(2,1) is a maximal subgroup of SL(3)

Published on 15 Apr 2026 - 11:00

96

Views

Number of $2 \times 2$ matrices over the field with $3$ elements, with determinant $1$

Published on 16 Apr 2026 - 3:14

463

Views

Clarification of elementary matrices in commutator group of infinite general linear group.

Published on 14 Apr 2026 - 6:45

List Question

In Springer, Invariant Theory, page 7, $S^G = S^{\overline G}$

Existence of a converging sequence in the subspace

Non-negative matrix factorization with Euclid's algorithm

What is a basis for $SL(n,F)$?

How to prove that $\mathrm{SL}_{2} (\mathbb F_{3})$ is not isomorphic to $S_{4}$?

Prove $\operatorname{GL}_n(\Bbb{R})/\operatorname{SL}_n(\Bbb{R}) \cong \Bbb{R}^\times$

Subgroups of $SL(n,F)$ which contain $B\cap SL(n,F)$

How to prove $GL_n(\mathbb{C})$ has no subgroup with finite index?

Computing the order of $\mathrm{SL}_2(\mathbb F_p)$ as the kernel of $\mathrm{GL}_2(\mathbb F_p)$

Transpose inverse automorphism is not inner

Is $GL_{n}^{+}(\mathbb R)$ a subgroup of $GL_{n}(\mathbb R)$?

Order of $GL(n,\mathbb{Z}/m \mathbb{Z})$

Showing that SO(2,1) is a maximal subgroup of SL(3)

Number of $2 \times 2$ matrices over the field with $3$ elements, with determinant $1$

Clarification of elementary matrices in commutator group of infinite general linear group.

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