New candidate for largest finite monoid with length 11:
<a, b | aaaba=b, bbbbb=1>
1220 elements. In fact, a^244 = 1.
That’s 5 more than <a, b | aaab=ba, bbbbb=1>!
§ 512. STATE PIE
The state pie shall be apple pie.
Sec. 2. SERVING APPLE PIE
When serving apple pie in Vermont, a "good faith" effort shall be made to meet one or more of the following conditions:
(a) with a glass of cold milk,
(b) with a slice of cheddar cheese weighing a minimum of 1/2 ounce,
(c) with a large scoop of vanilla ice cream.
New candidate for largest finite monoid with length 11:
<a, b | aaaba=b, bbbbb=1>
1220 elements. In fact, a^244 = 1.
That’s 5 more than <a, b | aaab=ba, bbbbb=1>!