#16530 ⟨a, b | aba=aa, bab=aaa⟩

Properties

Sum of relation sides is 11
Infinite non-cancellative non-commutative monoid
Element b has infinite order
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ ba = a² and a ⋅ a = a², however ba ≠ a
Not right cancellative, because right multiplication by a is not injective:
- ab ⋅ a = a² and a ⋅ a = a², however ab ≠ a

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=aa,bab=aaa a/b - -
aaaaa=aaa
baa=aaaa
aba=aa
aab=aaaa
bab=aaa