Question

Cardinality of finite dimensional vector spaces over finite fields.

score 89 · Answer 1 · 2026-04-11 17:55:31

89

Views

Cardinality of finite dimensional vector spaces over finite fields.

Published on 11 Apr 2026 - 17:55

score 32 · Answer 2 · 2026-04-16 18:55:55

32

Views

Every number n > 6 is sum of two numbers $a$ and $b$ with $a,b>1$ and $gcd(a,b)=1$

Published on 16 Apr 2026 - 18:55

score 259 · Answer 3 · 2026-03-25 08:09:00

259

Views

Prove that Aut($\mathbb Z \times \mathbb Z$) $\cong$ $\text{GL}_2(\mathbb Z)$

Published on 25 Mar 2026 - 8:09

score 56 · Answer 4 · 2026-03-26 06:11:00

56

Views

Proof Verification: $k$ algebraically closed and $\mathbf{V}(I)$ finite implies $k[x_1,\dots,x_n]/I$ is finite-dimensional.

Published on 26 Mar 2026 - 6:11

score 69 · Answer 5 · 2026-04-14 15:50:42

69

Views

Show that $G$ is a subgroup of $\operatorname{GL}_3(\mathbb R)$ and $G \cong \mathbb R^2 \rtimes (\mathbb R^\times \times \mathbb R^\times)$

Published on 14 Apr 2026 - 15:50

score 137 · Answer 6 · 2026-04-13 00:06:01

137

Views

A finitely generated group $G$ is divisible group iff trivial.

Published on 13 Apr 2026 - 0:06

score 63 · Answer 7 · 2026-04-12 18:36:17

63

Views

Please review my proof of triangle existence

Published on 12 Apr 2026 - 18:36

score 817 · Answer 8 · 2026-04-16 11:50:13

817

Views

If $\lim \frac{f(x)}{x^2} = 5$, find $\lim f(x)$ and $\lim \frac{f(x)}{x}$ as $x \to 0$.

Published on 16 Apr 2026 - 11:50

score 72 · Answer 9 · 2026-04-10 14:48:27

72

Views

How to find the semi direct product of group explicitly?

Published on 10 Apr 2026 - 14:48

score 118 · Answer 10 · 2026-04-16 11:55:42

118

Views

IMO Combinatorics C2 proof check

Published on 16 Apr 2026 - 11:55

score 600 · Answer 11 · 2026-04-21 21:32:19

600

Views

Number of ways to invest $\$20,000$ in units of $\$1000$ if not all the money need be spent

Published on 21 Apr 2026 - 21:32

score 121 · Answer 12 · 2026-03-26 13:45:56

121

Views

Is this disproof for the Descartes-Frenicle-Sorli Conjecture that $k=1$, if $p^k m^2$ is an odd perfect number, valid?

Published on 26 Mar 2026 - 13:45

score 51 · Answer 13 · 2026-04-15 09:32:49

51

Views

Prove that $\lim_{x \to \infty} f(x) = \infty$ implies that $f$ is strictly increasing on some range $(a, \infty)$, ($a \in \mathbb{R}.$)

Published on 15 Apr 2026 - 9:32

score 204 · Answer 14 · 2026-04-10 04:54:52

204

Views

Proof of Running Maximum of Brownian motion has continuous distribution without using the density or the fact that it is absolutely continuous

Published on 10 Apr 2026 - 4:54

score 37 · Answer 15 · 2026-04-11 01:08:50

37

Views

Hyper elliptic Riemann surfaces

Published on 11 Apr 2026 - 1:08

List Question

Cardinality of finite dimensional vector spaces over finite fields.

Every number n > 6 is sum of two numbers $a$ and $b$ with $a,b>1$ and $gcd(a,b)=1$

Prove that Aut($\mathbb Z \times \mathbb Z$) $\cong$ $\text{GL}_2(\mathbb Z)$

Proof Verification: $k$ algebraically closed and $\mathbf{V}(I)$ finite implies $k[x_1,\dots,x_n]/I$ is finite-dimensional.

Show that $G$ is a subgroup of $\operatorname{GL}_3(\mathbb R)$ and $G \cong \mathbb R^2 \rtimes (\mathbb R^\times \times \mathbb R^\times)$

A finitely generated group $G$ is divisible group iff trivial.

Please review my proof of triangle existence

If $\lim \frac{f(x)}{x^2} = 5$, find $\lim f(x)$ and $\lim \frac{f(x)}{x}$ as $x \to 0$.

How to find the semi direct product of group explicitly?

IMO Combinatorics C2 proof check

Number of ways to invest $\$20,000$ in units of $\$1000$ if not all the money need be spent

Is this disproof for the Descartes-Frenicle-Sorli Conjecture that $k=1$, if $p^k m^2$ is an odd perfect number, valid?

Prove that $\lim_{x \to \infty} f(x) = \infty$ implies that $f$ is strictly increasing on some range $(a, \infty)$, ($a \in \mathbb{R}.$)

Proof of Running Maximum of Brownian motion has continuous distribution without using the density or the fact that it is absolutely continuous

Hyper elliptic Riemann surfaces

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