#22821 ⟨a, b | aaa=1, abbbb=bab⟩

Properties

Sum of relation sides is 11
Infinite non-cancellative non-commutative monoid
Element aba has infinite order
Not left cancellative, because left multiplication by b is not injective:
- b ⋅ b³⁹ = b¹⁴ and b ⋅ b¹³ = b¹⁴, however b³⁹ ≠ b¹³
Not right cancellative, because right multiplication by b is not injective:
- ba ⋅ b = ab⁴ and ab³ ⋅ b = ab⁴, however ba ≠ ab³

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:aaa=1,abbbb=bab b/a - -
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=bbbbbbbbbbbbbb
bab=abbbb
baabbbb=aabbbbbbbbbbbbb
aaa=1