#3306 ⟨a, b, c | bb=ac, ccaa=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 ⋅ ca²c = c and c ⋅ 1 = c, however ca²c ≠ 1
Not right cancellative, because right multiplication by a is not injective:
- ac²ab ⋅ a = ba and b ⋅ a = ba, however ac²ab ≠ 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

# abc:bb=ac,ccaa=1 acb - -
bb=ac
bac=acb
ccaa=1
cbcaa=ccaba
accaba=ba
cbcaba=ca