#16451 ⟨a, b | aba=bb, aabb=bb⟩

Properties

Sum of relation sides is 11
Infinite non-cancellative non-commutative monoid
Element a has infinite order
Not left cancellative, because left multiplication by b is not injective:
- b ⋅ b⁶ = b⁴ and b ⋅ b³ = b⁴, however b⁶ ≠ b³
Not right cancellative, because right multiplication by b is not injective:
- a²b ⋅ b = b² and b ⋅ b = b², however a²b ≠ 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:aba=bb,aabb=bb ab - -
aba=bb
aabb=bb
bbba=abbb
bbabb=abbb
abbbbb=babbb
bbbbbbb=bbbb