Question

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

score 327 · Answer 1 · 2026-04-14 19:55:39

327

Views

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

Published on 14 Apr 2026 - 19:55

score 223 · Answer 2 · 2026-03-26 06:04:12

223

Views

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

Published on 26 Mar 2026 - 6:04

score 143 · Answer 3 · 2026-03-26 04:30:49

143

Views

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

Published on 26 Mar 2026 - 4:30

score 32 · Answer 4 · 2026-03-26 04:32:45

32

Views

Groups of endomorphisms and automorphisms, bases paradox?

Published on 26 Mar 2026 - 4:32

score 125 · Answer 5 · 2026-03-26 04:30:41

125

Views

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

Published on 26 Mar 2026 - 4:30

score 223 · Answer 6 · 2026-04-11 15:00:23

223

Views

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

Published on 11 Apr 2026 - 15:00

score 287 · Answer 7 · 2026-03-26 06:22:35

287

Views

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

Published on 26 Mar 2026 - 6:22

score 57 · Answer 8 · 2026-03-26 04:34:59

57

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 26 Mar 2026 - 4:34

score 109 · Answer 9 · 2026-03-26 06:09:36

109

Views

A homeomorphism to the open upper-half complex plane

Published on 26 Mar 2026 - 6:09

score 91 · Answer 10 · 2026-04-28 03:06:18

91

Views

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

Published on 28 Apr 2026 - 3:06

score 36 · Answer 11 · 2026-03-26 04:36:42

36

Views

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

Published on 26 Mar 2026 - 4:36

score 117 · Answer 12 · 2026-03-26 04:36:47

117

Views

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

Published on 26 Mar 2026 - 4:36

score 47 · Answer 13 · 2026-03-26 06:13:36

47

Views

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

Published on 26 Mar 2026 - 6:13

score 91 · Answer 14 · 2026-03-26 04:32:38

91

Views

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

Published on 26 Mar 2026 - 4:32

score 149 · Answer 15 · 2026-03-26 04:29:38

149

Views

Defining a group in GAP without having its presentation

Published on 26 Mar 2026 - 4:29

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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