#22787 ⟨a, b | aaa=1, abaab=bbb⟩

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 ⋅ b¹⁴ = b⁸ and b ⋅ b⁷ = b⁸, however b¹⁴ ≠ b⁷
Not right cancellative, because right multiplication by b is not injective:
- ba² ⋅ b = a²b³ and a²b² ⋅ b = a²b³, however ba² ≠ a²b²

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=1,abaab=bbb b/a - -
bbbbbbbbbbbbbbb=bbbbbbbb
babbb=abbbbbbb
baab=aabbb
aaa=1