User IBS

144 votes

3 answers

56k views

How to find the Galois group of a polynomial?

asked Jun 17, 2011 at 13:40

67 votes

2 answers

32k views

Number of monic irreducible polynomials of prime degree $p$ over finite fields

asked May 23, 2011 at 9:24

23 votes

3 answers

2k views

Does a topology on a countable set always have a countable base?

asked May 24, 2011 at 22:11

14 votes

2 answers

6k views

Prove that symplectic Lie algebras, $\mathfrak{sp}(n)$, are simple

asked Feb 1, 2012 at 19:15

13 votes

2 answers

417 views

Given $n$ points on the plane, find a circle which contains only three

asked May 5, 2012 at 20:40

13 votes

3 answers

8k views

Order of the centralizer of a permutation

asked Nov 26, 2011 at 17:05

9 votes

1 answer

4k views

Endomorphisms of $V$ and the dual space

asked Feb 1, 2012 at 0:36

8 votes

1 answer

283 views

Isomorphism of an irreducible module of a certain Lie-algebra

asked Jan 27, 2012 at 19:22

7 votes

1 answer

165 views

Simplicity of $\operatorname{Der} \left(\mathbb F_p [x_1, \dots, x_n]/ (x_1^p,\dots, x_n^p )\right)$

asked Dec 2, 2011 at 22:54

7 votes

1 answer

529 views

Algorithm for scrolling through different orbits in a permutation group

asked Dec 3, 2011 at 15:58

7 votes

2 answers

11k views

Every $k$ vertices in an $k$ - connected graph are contained in a cycle.

asked Jun 9, 2012 at 12:49

6 votes

1 answer

276 views

The parity of the permutation $a \mapsto ma \bmod{n}$

asked May 11, 2011 at 19:51

5 votes

2 answers

738 views

what is the tensor product $\mathbb{H\otimes_{R}H}$

asked Oct 30, 2011 at 14:03

4 votes

2 answers

407 views

What is the formal definition of $d$, or $\partial$, in differation and integration

asked May 25, 2011 at 10:27

4 votes

1 answer

2k views

Min-cut Max-flow $\Rightarrow$ Dilworth's theorem

asked Jun 5, 2012 at 16:38

4 votes

1 answer

2k views

Every $2k$-regular contains a 2-factor

asked Jun 9, 2012 at 1:11

3 votes

1 answer

209 views

non existence of $K_{r,r}$ in a given graph on any number of vertices

asked Jun 10, 2012 at 20:39

3 votes

1 answer

93 views

$\hom_{k}\left(V_{p,q},V_{r,s}\right)\simeq V_{q+r,p+s}$

asked Feb 2, 2012 at 0:36

3 votes

2 answers

263 views

a simple tensor product question

asked Oct 27, 2011 at 12:46

3 votes

1 answer

409 views

The universal enveloping algebra of the trivial lie algebra

asked Nov 21, 2011 at 20:52

3 votes

1 answer

722 views

The symmetric algebra as a g-module

asked Nov 25, 2011 at 12:42

2 votes

1 answer

194 views

A solvable Lie-algebra of derived length 2 and nilpotency class $n$

asked Dec 18, 2011 at 16:28

2 votes

1 answer

135 views

Isomorphism between $sl_{4}$ and the orthogonal group of $6$ variables

asked Feb 3, 2012 at 13:02

1 vote

1 answer

192 views

$n$ identical oranges to $k$ identical kids [duplicate]

asked Dec 21, 2011 at 16:24

1 vote

1 answer

207 views

Relation between free algebras and polynomials

asked Nov 17, 2011 at 20:06

1 vote

1 answer

89 views

counter examples for alleged sub-algebras

asked Nov 17, 2011 at 20:20

1 vote

1 answer

331 views

The cycle structure of the permutation $a \mapsto ma \bmod{n}$

asked May 22, 2011 at 12:49

1 vote

2 answers

166 views

Two succeeding integers in $\left(\mathbb{Z}/n\mathbb{Z}\right)^{*}$ for an odd n, and the Jacobi symbol of the latter one

asked May 22, 2011 at 14:14

0 votes

2 answers

110 views

Jacobi symbol and invertibility of $m$ for an odd $n$

asked Apr 4, 2012 at 14:13

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29 Questions

How to find the Galois group of a polynomial?

Number of monic irreducible polynomials of prime degree $p$ over finite fields

Does a topology on a countable set always have a countable base?

Prove that symplectic Lie algebras, $\mathfrak{sp}(n)$, are simple

Given $n$ points on the plane, find a circle which contains only three

Order of the centralizer of a permutation

Endomorphisms of $V$ and the dual space

Isomorphism of an irreducible module of a certain Lie-algebra

Simplicity of $\operatorname{Der} \left(\mathbb F_p [x_1, \dots, x_n]/ (x_1^p,\dots, x_n^p )\right)$

Algorithm for scrolling through different orbits in a permutation group

Every $k$ vertices in an $k$ - connected graph are contained in a cycle.

The parity of the permutation $a \mapsto ma \bmod{n}$

what is the tensor product $\mathbb{H\otimes_{R}H}$

What is the formal definition of $d$, or $\partial$, in differation and integration

Min-cut Max-flow $\Rightarrow$ Dilworth's theorem

Every $2k$-regular contains a 2-factor

non existence of $K_{r,r}$ in a given graph on any number of vertices

$\hom_{k}\left(V_{p,q},V_{r,s}\right)\simeq V_{q+r,p+s}$

a simple tensor product question

The universal enveloping algebra of the trivial lie algebra

The symmetric algebra as a g-module

A solvable Lie-algebra of derived length 2 and nilpotency class $n$

Isomorphism between $sl_{4}$ and the orthogonal group of $6$ variables

$n$ identical oranges to $k$ identical kids [duplicate]

Relation between free algebras and polynomials

counter examples for alleged sub-algebras

The cycle structure of the permutation $a \mapsto ma \bmod{n}$

Two succeeding integers in $\left(\mathbb{Z}/n\mathbb{Z}\right)^{*}$ for an odd n, and the Jacobi symbol of the latter one

Jacobi symbol and invertibility of $m$ for an odd $n$