#12562 ⟨a, b | abba=aa, babb=a⟩

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 ⋅ b²a = a² and a ⋅ a = a², however b²a ≠ a
Not right cancellative, because right multiplication by a is not injective:
- ba ⋅ a = a² and a ⋅ a = a², however ba ≠ 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:abba=aa,babb=a ab - -
baa=aa
aabb=aba
abba=aa
baba=aba
babb=a