#16524 ⟨a, b | aab=bb, bbb=aaa⟩

Properties

Sum of relation sides is 11
Infinite non-cancellative non-commutative monoid
Element ba has infinite order
Not left cancellative, because left multiplication by b is not injective:
- b ⋅ b⁵ = b³ and b ⋅ b² = b³, however b⁵ ≠ b²
Not right cancellative, because right multiplication by b is not injective:
- a² ⋅ b = b² and b ⋅ b = b², however a² ≠ b

Format:	Pretty Plain
Word:
	Enter a word above to compute its normal form. Tips: Lowercase letters stand for generators. Spaces are ignored. Numbers repeat the previous letter, e.g. `b90`.
Strategy:	Leftmost Rightmost
Result:	1 1

# ab:aab=bb,bbb=aaa b/a - -
bbbbbb=bbb
abb=bbbb
bbba=bbbbb
aab=bb
aaa=bbb