#13118 ⟨a, b | bbb=aaa, abba=a⟩

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 a is not injective:
- a ⋅ b²a = a and a ⋅ 1 = a, however b²a ≠ 1
Not right cancellative, because right multiplication by a is not injective:
- ab² ⋅ a = a and 1 ⋅ a = a, however ab² ≠ 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:bbb=aaa,abba=a a/b - -
aaaaaaaaaaaa=aaa
baaa=aaaaaaa
aaab=aaaaaaa
abba=a
bbb=aaa