#3489 ⟨a, b, c | bb=aa, acb=a⟩

Properties

Sum of relation sides is 8
Infinite non-cancellative non-commutative monoid
Element ba has infinite order
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ cb = a and a ⋅ 1 = a, however cb ≠ 1
Not right cancellative, because right multiplication by b is not injective:
- b²c ⋅ b = b² and b ⋅ b = b², however b²c ≠ 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=aa,acb=a bac - -
aa=bb
abb=bba
acb=a
bbcb=bb
abcb=ab