#16450 ⟨a, b | aba=bb, aabb=ba⟩

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 ⋅ b⁸ = b³ and b ⋅ b² = b³, however b⁸ ≠ b²
Not right cancellative, because right multiplication by b is not injective:
- b⁸ ⋅ b = b³ and b² ⋅ b = b³, however b⁸ ≠ b²

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=ba b/a - -
bbbbbbbbb=bbb
babbbbbbb=bab
bbabbbbbb=bba
bbba=abbb
aabb=ba
aba=bb
abba=bbabb
baa=bbabbbb