#27679 ⟨a, b | aa=1, abbbab=bab⟩

Properties

Sum of relation sides is 11
Infinite non-cancellative non-commutative monoid
Element b has infinite order
Not left cancellative, because left multiplication by b is not injective:
- b ⋅ ab²ab = bab and b ⋅ ab = bab, however ab²ab ≠ ab
Not right cancellative, because right multiplication by b is not injective:
- bab²a ⋅ b = bab and ba ⋅ b = bab, however bab²a ≠ ba

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:aa=1,abbbab=bab ab - -
aa=1
babab=abbab
bbbab=abab
babbab=bab