Luc Guyot's user avatar
Luc Guyot's user avatar
Luc Guyot's user avatar
Luc Guyot
  • Member for 8 years, 3 months
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4 votes

Minimum number of transpositions to make two multiset permutations equal

1 vote

Minimum number of swaps to make multisets elements sums close

13 votes
Accepted

Solvable groups that are linear over $\mathbb{C}$ but not over $\mathbb{Q}$?

3 votes

Intersection of commutative factorial domains: completely integrally closed and Krull domain

4 votes

Given a rational matrix $Q$, can we generate $\langle Q^{i}(v)\mid i\in\mathbb Z,v\in\mathbb Z^{2}\rangle$ using only non-negative powers of a matrix?

1 vote

On the number of intersection points between a curve and a (horizontal, vertical) line inside a unit square

2 votes

Proof of the connection of the growth functions of a residually finite group and all of its finite quotients

10 votes

A "simpler" description of the automorphism group of the lamplighter group

2 votes

Monomials of linearly independent polynomials remains independent?

4 votes

An application of ping-pong lemma

7 votes
Accepted

Given $P\in \mathbb{Z}[x]$ there is a nonzero $Q\in \mathbb{Z}[x]$ such that $H(PQ)\leq M(P)$

4 votes
Accepted

Does the Shalen-Wagreich lemma holds for non-symmetric generating sets?

5 votes

A metric characterization of the real line

3 votes
Accepted

For a finite-type $\mathbb{Z}$-algebra $A$, is the intersection of all ideals $I$ such that $A/I$ is finite and local necessarily zero?

3 votes

Any ideal as an intersection of ideals primary to maximal ones

1 vote

Examples of integral ring extensions that $\operatorname{ht}P \lt \operatorname{ht}P\cap A$

4 votes
Accepted

Inverse quadratic norms

2 votes

Localization at multivariate monic polynomials

5 votes

Coprime multivariate polynomials

5 votes
Accepted

Non-associative commutative "group"

3 votes

Every non-zero submodule of $R_R$ has an indecomposable direct summand: True when $R$ is von Neumann regular?

7 votes
Accepted

Group ring with infinite stable rank

12 votes

Every subgroup is isomorphic to a normal subgroup

3 votes

Isomorphism of $\mathbb{Z}\ltimes_A \mathbb{Z}^m$ and $\mathbb{Z}\ltimes_B \mathbb{Z}^m$

7 votes
Accepted

A "subtle" isomorphism testing problem: $\mathbb{Z}\ltimes_{A} \mathbb{Z}^5\cong \mathbb{Z}\ltimes_{B}\mathbb{Z}^5$ or not?

4 votes

Ideal norm in orders

20 votes
Accepted

Deciding if $\mathbb{Z}\ltimes_A \mathbb{Z}^5$ and $\mathbb{Z}\ltimes_B \mathbb{Z}^5$ are isomorphic or not

6 votes

Determining the kernel of the localization map when defining the localization by generators and relations à la Serre

6 votes

Abelianization of general linear group of a polynomial ring

10 votes
Accepted

Does every f.g. group have a minimal presentation?