#4537 ⟨a, b | aaabbaaa=aba⟩

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 ⋅ a²b²a³ = aba and a ⋅ ba = aba, however a²b²a³ ≠ ba
Not right cancellative, because right multiplication by a is not injective:
- a³b²a² ⋅ a = aba and ab ⋅ a = aba, however a³b²a² ≠ 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:aaabbaaa=aba ab - -
aaabbaaa=aba
ababbaaa=aaabbaba
abaabbaaa=aaabbaaba