#12415 ⟨a, b | aaba=bb, baaa=b⟩

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 b is not injective:
- b ⋅ a³ = b and b ⋅ 1 = b, however a³ ≠ 1
Not right cancellative, because right multiplication by b is not injective:
- b⁸ ⋅ b = b² and b ⋅ b = b², however b⁸ ≠ b

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:aaba=bb,baaa=b reversed:b/a - -
bbbbbbbbb=bb
bab=bbbbba
aab=bbaa
baaa=b