Nonsingular systems of equations over arbitrary groups
What the paper claims, in its own words
Proves that every finite system of equations over an arbitrary group whose exponent-sum matrix has full row rank over ℚ has a simultaneous solution in an overgroup, resolving Howie's conjecture. The coefficient group embeds in the presented quotient. A companion proves Kervaire's conjecture: adjoining one generator and one relation cannot trivialize a nontrivial group.
The plain-language explainer for this entry is still coming.
The original papers (2)
- Nonsingular systems of equations over arbitrary groups (PDF, opens in a new tab) October 5, 2026
- The Kervaire theorem for groups (PDF, opens in a new tab) September 24, 2026