Luc Guyot's user avatar
Luc Guyot's user avatar
Luc Guyot's user avatar
Luc Guyot
  • Member for 6 years, 11 months
  • Last seen this week
23 votes
Accepted

Average measure of intersection of a convex region with its translate

20 votes
Accepted

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

19 votes
Accepted

When is $A\otimes R$ a free $R$-module?

17 votes
Accepted

Has the Jacobson/ Baer radical of a group been studied?

15 votes
Accepted

Finite non-commutative ring with few invertible (unit) elements

13 votes
Accepted

Testing whether two elements of $\text{SL}(2, \mathbb{F}_{2^n})$ generate the entire group

13 votes
Accepted

Can one prove the elementary divisor theorem for PIDs by elementary matrix operations?

12 votes
Accepted

What is known about ideal and divisibility lattices of GCD domains and their generalizations?

12 votes
Accepted

a normal form for matrices over Z[x]/(x^2-1) ?

12 votes

Generators for SL_2(R) for rings of integers R

12 votes
Accepted

Is the product of Jacobson rings a Jacobson ring?

12 votes
Accepted

Minimum number of relations that must be added to make a group abelian

12 votes

Every subgroup is isomorphic to a normal subgroup

10 votes

Bass' stable range of $\mathbf Z[X]$

9 votes

When is $SL(n,R) \rightarrow SL(n,R/q)$ surjective?

9 votes
Accepted

Principal ideal ring, does there exist an invertible matrix such that certain matrix is upper triangular?

9 votes

Why are finitely generated modules over principal artin local rings direct sums of cyclic modules?

9 votes
Accepted

Unique words in dihedral groups

9 votes

For which rings R is SL_n(R) generated by its n-1 fundamental copies of SL_2(R)?

9 votes

$G_n$ 's mutually non-isomorphic

9 votes
Accepted

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

8 votes
Accepted

Intersection of free/affine submodules, comparison with vector spaces

8 votes
Accepted

$R$ a DVR with fraction field $K.$ What are the $R$-submodules of $K^n?$

8 votes
Accepted

Strong approximation for principal ideal domains

7 votes
Accepted

Minimal ideals of the ring of continuous functions

7 votes
Accepted

Global to local principle for f.g. $\mathbb{Z}[x]$ modules

7 votes
Accepted

When is the semidirect product of an elementary abelian group and a cyclic group generated by two elements?

7 votes

Transitive actions of $Aut(F_2)$ on surjections from $F_2\twoheadrightarrow G$

7 votes

For which rings $R$ is $\mathrm{SL}_n(R)$ generated by transvections?

7 votes

When does a ring surjection imply a surjection of the group of units?