#12512 ⟨a, b | abab=aa, bbab=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 ⋅ ab = a² and a ⋅ a = a², however ab ≠ a
Not right cancellative, because right multiplication by a is not injective:
- b²a ⋅ a = a² and a ⋅ a = a², however b²a ≠ 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:abab=aa,bbab=a ab - -
aab=aa
abaa=aaa
abab=aa
bbaa=aa
bbab=a