Mark Wildon's user avatar
Mark Wildon's user avatar
Mark Wildon's user avatar
Mark Wildon
  • Member for 11 years
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5 votes
Accepted

Show that there is no linear transformation $T: R^2 \rightarrow R^2$ such that $T (1, π) = (0, 1)$, , $T (e, −π) = (1, 1)$ and $T (1, 0) = (2, 3)$.

3 votes

A Theorem from Jacobson: $U^G\otimes_F V\cong (U\otimes_F V_H)^G$

3 votes
Accepted

if every sequence $(x_n)$ of $A$ contains a Cauchy subsequence, then $A$ is totally bounded

1 vote
Accepted

Number of $(n-1)-$cycles in $S_n$

7 votes

Why does induction have to be an axiom?

0 votes

How to prove an inequality of quotients of 2 combinations

1 vote
Accepted

A doubt in the proof of Noether's normalization lemma.

1 vote

What should "The Fundamental Theorem of Linear Algebra" assert?

3 votes
Accepted

$G \ne [G,G]$ from irreducible representations

2 votes

Surprising Summation (4): $\frac 12 \sum_{i=1}^n (n+1-i)(n+i)=\sum_{i=1}^n i^2$

6 votes
Accepted

Is $every$ prime factor of $\frac{n^{163}-1}{n-1}$ either $163$ or $1\;\text{mod}\;163$?

2 votes

Is $f(x)= \frac{1}{x} - \frac{1}{e^x-1}$ monotonic?

1 vote
Accepted

$k$ identical balls to $n$ different cells

1 vote

Show that if $(A_n)_{n \in \mathbb{N}}$ is a decreasing series of events, then its limit is $\bigcap_{n=1}^\infty A_n$

4 votes
Accepted

Pythagoras number of $\mathbb{F}_p$

2 votes
Accepted

Matrix log norm

1 vote
Accepted

Bijection for Rook placecement and Stirling number of 2nd kind

5 votes

Is it true that if $f_{n}\rightarrow f$ uniformly converges then $f^{\prime}_{n}\rightarrow f^{\prime}$?

3 votes

Finding the character table of this group

8 votes
Accepted

Roots of a polynomial whose coefficients are ratios of binomial coefficients

1 vote
Accepted

Writing $P_n=\sum_{\sigma \in \mathfrak{S}_n} X^{c_n(\sigma)}$ as irreducible factors in $\mathbb{Q}[X]$.

1 vote
Accepted

McLain's characteristically simple group

4 votes

Is $k[x][[h]]$ finitely generated as $k[[h]]$-algebra?

3 votes

Alternating sum of binomial coefficients multiplied by (1/k+1)

12 votes
Accepted

What are the one-parameter subgroups of GL?

1 vote
Accepted

Is this equation about binomial-coefficients true?

3 votes

Integral with binomial coefficient

1 vote

$g\in G$ maximal order in $G$ abelian then $G=\left<g\right>\oplus H$

8 votes
Accepted

Decomposition of Permutation Representation

2 votes
Accepted

Irreducible 3rd degree polynomials over $\mathbb{Z}_3$ field?