Question

Is determinant canonical projection $\det:GL(n,\mathbb R) \rightarrow GL(n,\mathbb R)^{ab}$?

score 97 · Answer 1 · 2023-08-16 16:19:41

97

Views

Is determinant canonical projection $\det:GL(n,\mathbb R) \rightarrow GL(n,\mathbb R)^{ab}$?

Published on 16 Aug 2023 - 16:19

score 73 · Answer 2 · 2023-08-21 13:38:03

73

Views

Dieudonne determinant is well defined.

Published on 21 Aug 2023 - 13:38

score 64 · Answer 3 · 2023-08-24 14:39:34

64

Views

Emil Artin determinant is unique

Published on 24 Aug 2023 - 14:39

score 93 · Answer 4 · 2023-08-28 12:17:49

93

Views

Operatornorm of powers of Matricies with integer coefficient

Published on 28 Aug 2023 - 12:17

score 88 · Answer 5 · 2023-09-11 08:38:01

88

Views

General linear group inclusion

Published on 11 Sep 2023 - 8:38

score 152 · Answer 6 · 2023-09-21 06:37:50

152

Views

Does $S_n$ always embed into $GL_{n-1} (\mathbb{F}_p$)?

Published on 21 Sep 2023 - 6:37

score 77 · Answer 7 · 2023-09-29 05:06:17

77

Views

Number of homomorphisms from $\Bbb Z_p$ to $\operatorname{GL}_2(\Bbb Z_q)$?

Published on 29 Sep 2023 - 5:06

score 74 · Answer 8 · 2023-10-04 19:23:20

74

Views

Perfect Subgroups of $GL(2,p)$, where $p$ is an odd prime.

Published on 04 Oct 2023 - 19:23

score 79 · Answer 9 · 2023-10-15 11:17:27

79

Views

Fundamental domains for congruence subgroups $\Gamma_0(N)$ by transformations of the fundamental domain of $SL_2(\mathbb{Z})$

Published on 15 Oct 2023 - 11:17

score 60 · Answer 10 · 2023-10-21 12:52:57

60

Views

is there any unit upper triangular matrix in $GL_n(F_p)$ such that the following holds

Published on 21 Oct 2023 - 12:52

score 122 · Answer 11 · 2023-10-27 06:03:19

122

Views

Prove that $\operatorname{GL}_n(k)$ and $\operatorname{SL}_n(k)$ cannot be symmetric group?

Published on 27 Oct 2023 - 6:03

score 43 · Answer 12 · 2023-11-05 11:52:02

43

Views

Query Regarding the Proof of Z(SO(2m))={±1} in Section 3.7 of 'Naive Lie Theory' by John Stillwell

Published on 05 Nov 2023 - 11:52

score 20 · Answer 13 · 2023-11-08 19:53:56

20

Views

$F \subset E$ as a sub-vector bundle of E, Show that it is a $GL_p$-reduction of $Fr(E)$

Published on 08 Nov 2023 - 19:53

score 38 · Answer 14 · 2023-12-15 17:40:12

38

Views

Proof that $GL(n,\mathbb{C})$ is isomorphic to a properly embedded Lie subgroup of $GL(2n,\mathbb{R})$

Published on 15 Dec 2023 - 17:40

score 96 · Answer 15 · 2023-12-27 21:43:11

96

Views

How many elements in $GL_2(\mathbb{F}_p)$ are conjugate to $\begin{pmatrix} \lambda & 0 \\ 0 & \mu\end{pmatrix}$?

Published on 27 Dec 2023 - 21:43

List Question

Is determinant canonical projection $\det:GL(n,\mathbb R) \rightarrow GL(n,\mathbb R)^{ab}$?

Dieudonne determinant is well defined.

Emil Artin determinant is unique

Operatornorm of powers of Matricies with integer coefficient

General linear group inclusion

Does $S_n$ always embed into $GL_{n-1} (\mathbb{F}_p$)?

Number of homomorphisms from $\Bbb Z_p$ to $\operatorname{GL}_2(\Bbb Z_q)$?

Perfect Subgroups of $GL(2,p)$, where $p$ is an odd prime.

Fundamental domains for congruence subgroups $\Gamma_0(N)$ by transformations of the fundamental domain of $SL_2(\mathbb{Z})$

is there any unit upper triangular matrix in $GL_n(F_p)$ such that the following holds

Prove that $\operatorname{GL}_n(k)$ and $\operatorname{SL}_n(k)$ cannot be symmetric group?

Query Regarding the Proof of Z(SO(2m))={±1} in Section 3.7 of 'Naive Lie Theory' by John Stillwell

$F \subset E$ as a sub-vector bundle of E, Show that it is a $GL_p$-reduction of $Fr(E)$

Proof that $GL(n,\mathbb{C})$ is isomorphic to a properly embedded Lie subgroup of $GL(2n,\mathbb{R})$

How many elements in $GL_2(\mathbb{F}_p)$ are conjugate to $\begin{pmatrix} \lambda & 0 \\ 0 & \mu\end{pmatrix}$?

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