#16292 ⟨a, b | aab=bb, abaa=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 ⋅ ab = aba² and a ⋅ ba² = aba², however ab ≠ ba²
Not right cancellative, because right multiplication by a is not injective:
- (ba)² ⋅ a = aba⁶ and aba⁵ ⋅ a = aba⁶, however (ba)² ≠ aba⁵

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:aab=bb,abaa=bb a/b - -
abaaaaaaaa=abaaaaaa
aab=abaa
bb=abaa
babaa=abaaaaaa