#16063 ⟨a, b | aaa=bb, abab=bb⟩

Properties

Sum of relation sides is 11
Infinite non-cancellative non-commutative monoid
Element ba² has infinite order
Not left cancellative, because left multiplication by b is not injective:
- b ⋅ b⁶ = b³ and b ⋅ b² = b³, however b⁶ ≠ b²
Not right cancellative, because right multiplication by b is not injective:
- aba ⋅ b = b² and b ⋅ b = b², however aba ≠ 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:aaa=bb,abab=bb b/a - -
bbbbbbb=bbb
babbbbbb=babb
bba=abb
aabb=babbb
abab=bb
aaa=bb