Question

Does there exist a subgroup of $GL(n,\mathbb F_2)$ that requires $n$ generators, when $n>2?$

score 324 · Answer 1 · 2021-07-09 23:10:06

324

Views

Does there exist a subgroup of $GL(n,\mathbb F_2)$ that requires $n$ generators, when $n>2?$

Published on 09 Jul 2021 - 23:10

score 222 · Answer 2 · 2021-07-18 20:26:13

222

Views

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

Published on 18 Jul 2021 - 20:26

score 142 · Answer 3 · 2021-07-19 19:20:21

142

Views

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

Published on 19 Jul 2021 - 19:20

score 31 · Answer 4 · 2021-07-26 18:56:42

31

Views

Groups of endomorphisms and automorphisms, bases paradox?

Published on 26 Jul 2021 - 18:56

score 124 · Answer 5 · 2021-08-18 01:51:40

124

Views

Subgroups of ${\rm PGL}(2, \mathbb{F}_p)$

Published on 18 Aug 2021 - 1:51

score 222 · Answer 6 · 2026-02-23 16:28:20

222

Views

Representations of $GL_n(F_q)$ over a finite field

Published on 23 Feb 2026 - 16:28

score 286 · Answer 7 · 2021-08-31 11:45:09

286

Views

Prove that the group of invertible matrices acts transitively on Grassmannian space

Published on 31 Aug 2021 - 11:45

score 56 · Answer 8 · 2021-09-20 19:46:43

56

Views

Let $V$ be a finite vector space over $K$ and $X:=\{\bar{x}=(x_1,\ldots,x_{n+1})\in V^{n+1} : (x_1,\ldots,x_{n})\in \mathcal{B}$. Then…

Published on 20 Sep 2021 - 19:46

score 108 · Answer 9 · 2021-09-22 13:32:23

108

Views

A homeomorphism to the open upper-half complex plane

Published on 22 Sep 2021 - 13:32

score 89 · Answer 10 · 2026-02-23 04:59:09

89

Views

Automorphism group of $\text{GL}(n,\mathbb{F}_q)$

Published on 23 Feb 2026 - 4:59

score 35 · Answer 11 · 2021-10-11 15:00:09

35

Views

Invariant rings of all finite subgroups of GL(1,C)

Published on 11 Oct 2021 - 15:00

score 116 · Answer 12 · 2021-10-29 00:46:52

116

Views

Are there holes in every neighbourhood in GL(n,R)?

Published on 29 Oct 2021 - 0:46

score 46 · Answer 13 · 2021-10-30 08:06:49

46

Views

Elementary construction of cuspidal representations of $\mathrm{GL}_2(\mathbb{F}_q)$

Published on 30 Oct 2021 - 8:06

score 90 · Answer 14 · 2021-11-02 14:18:32

90

Views

Find infinitely many homomorphism from $GL_2(\mathbb Q)$ to $\mathbb Q^*$

Published on 02 Nov 2021 - 14:18

score 148 · Answer 15 · 2021-11-03 03:58:47

148

Views

Defining a group in GAP without having its presentation

Published on 03 Nov 2021 - 3:58

List Question

Does there exist a subgroup of $GL(n,\mathbb F_2)$ that requires $n$ generators, when $n>2?$

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?

Groups of endomorphisms and automorphisms, bases paradox?

Subgroups of ${\rm PGL}(2, \mathbb{F}_p)$

Representations of $GL_n(F_q)$ over a finite field

Prove that the group of invertible matrices acts transitively on Grassmannian space

Let $V$ be a finite vector space over $K$ and $X:=\{\bar{x}=(x_1,\ldots,x_{n+1})\in V^{n+1} : (x_1,\ldots,x_{n})\in \mathcal{B}$. Then…

A homeomorphism to the open upper-half complex plane

Automorphism group of $\text{GL}(n,\mathbb{F}_q)$

Invariant rings of all finite subgroups of GL(1,C)

Are there holes in every neighbourhood in GL(n,R)?

Elementary construction of cuspidal representations of $\mathrm{GL}_2(\mathbb{F}_q)$

Find infinitely many homomorphism from $GL_2(\mathbb Q)$ to $\mathbb Q^*$

Defining a group in GAP without having its presentation

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