Kourovka Problem 21.147: Non-abelian counterexample for relatively convex subgroups
- Mathematics
In a non-abelian right-orderable group, the right-relatively convex subgroups need not form a sublattice of its subgroup lattice.
Kourovka Problem 21.147: Non-abelian counterexample for relatively convex subgroups
- Mathematics
In a non-abelian right-orderable group, the right-relatively convex subgroups need not form a sublattice of its subgroup lattice.
Curated contributions 1
Understand the problem ↓Understanding the problem
Read the background
In a non-abelian right-orderable group, the right-relatively convex subgroups need not form a sublattice of its subgroup lattice.
Why it matters
Aristotle’s revised construction supplies a non-abelian counterexample to the intended question.
What counts as progress
A specific group theory result with documented AI mathematical work, a stated prior baseline and a checkable source.
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Kourovka Problem 21.147: Non-abelian counterexample for relatively convex subgroups