#2708 ⟨a, b | abbab=abaaa⟩

Properties

Sum of relation sides is 10
Infinite non-cancellative non-commutative monoid
Element a has infinite order
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ b²ab = aba³ and a ⋅ ba³ = aba³, however b²ab ≠ ba³

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:abbab=abaaa abc abaaa=c magic:0
caaa=abbc
cbab=abbc
abaaa=c
abbab=c
cbaaa=abaac
cbbab=abaac