#16458 ⟨a, b | aba=bb, abba=bb⟩

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 a is not injective:
- a ⋅ aba² = aba and a ⋅ ba = aba, however aba² ≠ ba
Not right cancellative, because right multiplication by a is not injective:
- a²ba ⋅ a = aba and ab ⋅ a = aba, however a²ba ≠ ab

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,abba=bb a/b - -
aabaa=aba
bb=aba
babaaaa=babaa
abab=baba
babaab=babaa
babaaab=babaaa