#16550 ⟨a, b | aba=bb, bab=aba⟩

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 ⋅ ab = b² and b ⋅ b = b², however ab ≠ b
Not right cancellative, because right multiplication by b is not injective:
- ba ⋅ b = b² and b ⋅ b = b², however ba ≠ 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,bab=aba ab - -
aba=bb
bab=bb
bba=abb
bbb=abb
aabb=abb