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YCor's user avatar
YCor's user avatar
YCor
  • Member for 13 years
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3 votes
Accepted

Which Lie groups admit finite generation by a set of Lie algebra elements? And what are some known choices of generators which realize this?

3 votes
Accepted

Matrices over a finite field: matrices for which some unipotent $U$ satisfies Trace$(ZU)=0$ for all $Z$ in the commutant

6 votes

Non-trivial convergent sequence in Stone-Čech compactification of $\mathbb{N}$

6 votes

Affine structure on the circle whose atlas consists of homeomorphisms onto $\mathbb{R}$

1 vote

Does left-invariance imply right-invariance for closed unimodular normal subgroups?

17 votes

Is there an absolute geometry that underlies spherical, Euclidean and hyperbolic geometry?

9 votes

Group generated by two irrational plane rotations

7 votes

Constructing countable threelds of finite dimension

6 votes

Residually solvable Bianchi groups

1 vote

The Boolean algebra of all almost invariant subsets of an uncountable locally finite group is contained in every Sub-Boolean that separates points

6 votes
Accepted

Commensurability classes of subgroups of a nilpotent group

3 votes

Locally finite groups of finite rank and bounded exponent

5 votes

Which algebraic groups are generated by (lifts of) reflections?

2 votes

Finitely generated G, such that x^3 = 1 for all x, is finite?

4 votes

Units of the group algebra of a free group

5 votes

Normalizer of solvable linear group is an algebraic group?

12 votes

Non-simple groups $G$ with only non-trivial quotient isomorphic to $G$

6 votes

Group such that factors in any product-decomposition are reducible

7 votes

Prove or disprove: $R^{n+1} \supseteq R \cap R^2 \cap \cdots \cap R^n$ for every binary relation $R$ on a set of size $n$

28 votes

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

7 votes
Accepted

Do lattices of small co-volume always exist in rational, connected, simply connected, nilpotent Lie groups?

7 votes

Commutator of closed subgroups

4 votes

Can every finitely generated field extension of $\mathbb{Q}$ be embedded into a local field?

6 votes

If every ascending chain of ideals leading up to an ideal stabilises, is the ideal finitely generated?

3 votes

A subgroup of index 2 for a solvable finite group transitively acting on a finite set of cardinality $2m$ where $m$ is odd

0 votes
Accepted

Is the collapse of a totally disconnected compact Hausdorff space still totally disconnected?

9 votes
Accepted

Generation of $\mathrm{SO}(n,\mathbb{Q})$ by coordinate subgroups

6 votes

Generation of $\mathrm{SO}(n,\mathbb{Q})$ by coordinate subgroups

10 votes
Accepted

Is the inclusion of the maximal torus in a simply connected compact Lie group null-homotopic?

6 votes
Accepted

Formal series which are always zero

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