#1857 ⟨a, b, c | aba=bb, caa=1⟩

Properties

Sum of relation sides is 8
Infinite non-cancellative non-commutative monoid
Element a has infinite order
Not left cancellative, because left multiplication by c is not injective:
- c ⋅ a²c = c and c ⋅ 1 = c, however a²c ≠ 1
Not right cancellative, because right multiplication by a² is not injective:
- a²c ⋅ a² = a² and 1 ⋅ a² = a², however a²c ≠ 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

# abc:aba=bb,caa=1 bac - -
aba=bb
caa=1
abbb=bbba
cabb=ba
cbbba=bab
cbbbbb=babba