User Marc Bogaerts

9 votes

1 answer

464 views

What are those groups generated by two cycles?

asked Apr 17, 2017 at 18:56

8 votes

2 answers

142 views

Is this ring a well known ring and if so how is it called?

asked Oct 22, 2014 at 18:32

6 votes

1 answer

586 views

Rational Eisenstein primes that split

asked Dec 17, 2016 at 18:06

6 votes

1 answer

182 views

Sums of quadratic residues with quadratic nonresidues

asked Dec 20, 2016 at 17:40

6 votes

0 answers

138 views

For which finite groups $G$ is $K = \{g^2 \mid g \in G\}$ a subgroup

asked Apr 7, 2017 at 16:37

6 votes

0 answers

427 views

Conditions on $\alpha, \beta$ under which $A \rtimes_{\alpha} B $ and $A \rtimes_{\beta} B$ are isomorphic

asked Feb 5, 2017 at 17:44

5 votes

0 answers

1k views

Classification of non abelian groups of order $p^3$.

asked Feb 3, 2017 at 14:23

5 votes

2 answers

471 views

The determination of the Galois group of a polynomial

asked Sep 8, 2014 at 13:43

5 votes

1 answer

405 views

Which matrix $P$ makes two matrices $A$ and $B$ similar

asked Apr 21, 2017 at 8:27

5 votes

1 answer

384 views

Problems in finding an integral basis in a ring of algebraic ntegers

asked May 7, 2017 at 18:44

5 votes

1 answer

103 views

Constructing the Galois group of a polynomial knowing its splitting field as a matrix algebra

asked Aug 7, 2021 at 15:59

4 votes

1 answer

563 views

The structure of the unit circle in the plane $F^2$, where $F$ is a finite field with odd characteristic.

asked Sep 23, 2019 at 18:00

4 votes

1 answer

194 views

What information can one obtain from the size of a finite group?

asked Feb 4, 2017 at 10:11

3 votes

1 answer

256 views

Constructing the automorphism group of an algebra in GAP

asked Feb 16, 2017 at 15:04

3 votes

1 answer

475 views

Finite rings without unity that are subrings of finite rings with unity

asked Aug 27, 2014 at 17:39

3 votes

1 answer

215 views

What's wrong with the following proof of the primitive element theorem?

asked Mar 25, 2014 at 13:19

3 votes

1 answer

6k views

How do I find an integral basis, given a basis consisting of algebraic integers?

asked Mar 26, 2014 at 18:22

3 votes

0 answers

114 views

cyclotomic integers vs. algebraic integers

asked May 31, 2020 at 15:03

2 votes

1 answer

99 views

What happens to representation theory if we replace $\Bbb C$ with $\Bbb Q$?

asked May 1, 2017 at 15:37

2 votes

1 answer

151 views

Proof of $(px+1)^{p^{k}}=(p^{k+1}x+1)$ mod $p^{k+2}$ for any odd prime $p$

asked May 16, 2019 at 13:49

2 votes

2 answers

691 views

Given a number $n \in \Bbb{N}$. In how many ways can $n$ be written as $\prod_{i=1}^{k}n_i$ such that $n1|n2|\ldots|n_k|n$?

asked Oct 2, 2014 at 16:08

2 votes

0 answers

255 views

Complexification of a field

asked Apr 4, 2017 at 13:53

2 votes

1 answer

740 views

How to prove this alternate definition of the Jacobson radical?

asked Jan 15, 2017 at 16:15

2 votes

1 answer

82 views

An element $\notin I$, any ideal is projected to zero.

asked Feb 14, 2017 at 8:31

1 vote

1 answer

85 views

Why does GAP takes this element as a generator?

asked Feb 9, 2017 at 10:18

1 vote

1 answer

300 views

Size of two conjugate subgroups of a finite group

asked Oct 20, 2016 at 12:55

1 vote

1 answer

49 views

Problem with MappedWord

asked Apr 19, 2017 at 13:29

1 vote

0 answers

634 views

How can I find an idempotent element in a matrix ring?

asked Feb 18, 2017 at 15:25

1 vote

0 answers

68 views

How can one split these kind of rings as a direct sum of minimal ideals

asked Feb 20, 2017 at 21:19

1 vote

1 answer

184 views

Decomposition of a permutation giving cycles of equal lengtth

asked Mar 13, 2017 at 13:12

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50 Questions

What are those groups generated by two cycles?

Is this ring a well known ring and if so how is it called?

Rational Eisenstein primes that split

Sums of quadratic residues with quadratic nonresidues

For which finite groups $G$ is $K = \{g^2 \mid g \in G\}$ a subgroup

Conditions on $\alpha, \beta$ under which $A \rtimes_{\alpha} B $ and $A \rtimes_{\beta} B$ are isomorphic

Classification of non abelian groups of order $p^3$.

The determination of the Galois group of a polynomial

Which matrix $P$ makes two matrices $A$ and $B$ similar

Problems in finding an integral basis in a ring of algebraic ntegers

Constructing the Galois group of a polynomial knowing its splitting field as a matrix algebra

The structure of the unit circle in the plane $F^2$, where $F$ is a finite field with odd characteristic.

What information can one obtain from the size of a finite group?

Constructing the automorphism group of an algebra in GAP

Finite rings without unity that are subrings of finite rings with unity

What's wrong with the following proof of the primitive element theorem?

How do I find an integral basis, given a basis consisting of algebraic integers?

cyclotomic integers vs. algebraic integers

What happens to representation theory if we replace $\Bbb C$ with $\Bbb Q$?

Proof of $(px+1)^{p^{k}}=(p^{k+1}x+1)$ mod $p^{k+2}$ for any odd prime $p$

Given a number $n \in \Bbb{N}$. In how many ways can $n$ be written as $\prod_{i=1}^{k}n_i$ such that $n1|n2|\ldots|n_k|n$?

Complexification of a field

How to prove this alternate definition of the Jacobson radical?

An element $\notin I$, any ideal is projected to zero.

Why does GAP takes this element as a generator?

Size of two conjugate subgroups of a finite group

Problem with MappedWord

How can I find an idempotent element in a matrix ring?

How can one split these kind of rings as a direct sum of minimal ideals

Decomposition of a permutation giving cycles of equal lengtth