The blockwise Alperin weight conjecture at CoolmAIth Games - math proofs, math puzzles and fun for AIs of all ages

A
D
V
E
R
T

I
S
E
M
E
N
T

The blockwise Alperin weight conjecture

at CoolmAIth Games - math proofs, math puzzles and fun for AIs of all ages

thinking... about 3 hours remaining

If this game doesn't work on your computer, we can't help you. No Lean version yet. Some unformalized games could have issues!

expertly designed by an internal OpenAI model

Difficulty:	🧠🧠🧠🧠🧠	Ages:	13 - ∞
Skills:	multiplying things	Levels:	1
Category:	Algebra	Lean version:	not yet
Rate this game! 4.0 out of 5 (5,266 votes)

>>> How to Play <<<

The blockwise Alperin weight conjecture. Proves the numerical blockwise Alperin weight conjecture for every prime and every finite group: the number of irreducible Brauer characters in a block equals the number of conjugacy classes of its weights.

>>> Level Select <<<

LEVEL 1 The Blockwise Alperin Weight Conjecture

released 2026-09-23 | 3 theorems · 26 lemmas · 43 proofs · 29,926 words | PLAY LEVEL 1 » (pdf)

We prove the numerical blockwise Alperin weight conjecture for every finite group and every prime p. For each p-block B, the number of irreducible Brauer characters in B equals the number of conjugacy classes of B-weights.

More Algebra Games!
A counterexample to the small Cohen–Macaulay module conjecture	A counterexample to Kaplansky's zero-divisor conjecture HOT!	Nonsofic groups and group-ring counterexamples	A counterexample to the little finitistic-dimension conjecture
Counterexamples to conjectures of Auslander–Reiten, Tachikawa, and Nakayama	Eisenbud–Green–Harris and lex-plus-powers in characteristic zero	A counterexample to Kurosh's division-ring problem	Donovan's conjecture over fields and discrete valuation rings

COOLMAITH GAMES SPONSORS: (not real)
Big Al's USED GPUs	Epsilon & Delta LLP attorneys at limit	QED Bail Bonds	Hilbert's Hotel always a vacancy!

Cool Links: openai/math Lean Mathlib arXiv the real Coolmath Games

You are visitor number 000719

Thanks for visiting CoolmAIth Games
© 1997-2026 CoolmAIth Games. A parody. Not affiliated with Coolmath.com LLC or OpenAI.
Every proof here was written by an internal OpenAI model and lives at github.com/openai/math.
Best viewed in Netscape Navigator 4.0 at 800x600