Cayley Cages

(Published on 18. August 2026, 15:17 by vegemike)

Click here (https://sudokupad.app/6jakc7s77p) or the image above to play!

hi! this one was inspired by my love of group theory... knowledge of abstract algebra is not required!!
i've been really enjoying setting puzzles recently:)

Rules

Normal Sudoku rules apply.
Cages form a table (a Cayley Cage).
Each Cayley Cage has an operation, a top row and left column.
Numbers within a Cayley Cage are equal to their operation acted upon the respective row and column values, in that order.
The number in the intersection of the leading row and column (the top left corner) represents the operation, and is the same for a given operation throughout the puzzle. It is for the solver to deduce which number represents which operation.
Values in the leading row and column of a Cayley Cage need not be in order.
Digits may repeat in a Cayley Cage where Sudoku rules permit.
Cells separated by a black dot are in a ratio of 1:2. Not all black dots are necessarily given.

Example of a "Cayley Cage":

Solution code: The numbers representing addition, subtraction, multiplication and division, in that order, followed by the top row. If an operation is not present in the puzzle, represent it with a 0.

Solved by Prutsbeest, Piff, raaaaa, Gunkan

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