#12557 ⟨a, b | abba=aa, baaa=b⟩

Properties

Sum of relation sides is 11
Infinite non-cancellative non-commutative monoid
Element a²b has infinite order
Not left cancellative, because left multiplication by b is not injective:
- b ⋅ b² = b and b ⋅ 1 = b, however b² ≠ 1
Not right cancellative, because right multiplication by b is not injective:
- b² ⋅ b = b and 1 ⋅ b = b, however b² ≠ 1

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:abba=aa,baaa=b a/b - -
aaaaa=aa
baaa=b
aaaab=ab
abb=aaaa
bbb=b