#7147 ⟨a, b | bb=aa, aaba=ba⟩

Properties

Sum of relation sides is 10
Infinite non-cancellative non-commutative monoid
Element ab has infinite order
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ a⁴ = a³ and a ⋅ a² = a³, however a⁴ ≠ a²
Not right cancellative, because right multiplication by a is not injective:
- a²b ⋅ a = ba and b ⋅ a = ba, however a²b ≠ b

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:bb=aa,aaba=ba ab - -
bb=aa
baa=aab
aaba=ba
aaaaa=aaa
aaaab=aab